Mathematics Archives

Frank ICSE Solutions for Class 9 Maths – Surface Areas and Volume of Solids

November 10, 2023May 18, 2022 by Veerendra

Frank ICSE Solutions for Class 9 Maths – Surface Areas and Volume of Solids

Ex No: 25.1

Solution 1.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 1

Solution 2.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 2

Solution 3.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 3

Solution 4.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 4

Solution 5.
Volume of a cuboid = l x b x h
2400 = 20 × 15 × h
h = 8 cm
Hence, height of the cuboid is 8 cm.

Solution 6.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 5

Solution 7.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 6

Solution 8.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 7

Solution 10.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 8

Solution 11.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 9

Solution 12.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 10

Solution 13.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 11

Solution 14.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 12

Solution 15.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 14

Solution 16.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 15

Solution 17.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 16

Solution 21.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 17

Solution 22.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 18

Solution 23.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 19

Solution 24.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 20

Solution 26.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 21

Solution 27.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 22

Solution 28.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 23

Solution 30
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 24

Solution 32.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 25

Solution 33.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 27

Solution 34.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 28

Solution 35.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 29

Solution 36.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 30

Solution 39.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 31

Ex No: 25.2
Solution 1.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 32

Solution 2.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 34

Solution 3.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 35

Solution 4.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 36

Solution 5.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 37

Solution 6.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 38

Solution 7.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 39

Solution 9.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 40

Solution 10.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 41

Solution 11.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 42

Solution 12.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 43

Solution 13.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 44

Solution 15.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 45

Solution 16.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 46

Solution 17.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 48

Solution 18.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 50

Solution 19.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 51

Solution 20.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 52

Solution 21.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 53

Solution 23.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 54

Solution 25.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 55

Solution 26.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 56

Solution 27.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 57

Solution 28.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 58

Solution 29.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 59

Solution 30.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 60

Solution 31.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 61

Ex No: 25.3
Solution 1.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 62

Solution 2.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 64

Solution 3.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 65

Solution 4.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 69

Solution 5.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 70

Solution 6.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 71

Solution 7.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 72

Solution 8.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 73

Solution 9.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 77

Solution 10.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 78

Solution 11.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 80

Solution 12.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 81

Solution 13.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 82

Solution 14.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 83

Solution 15.
Frank ICSE Solutions for Class 9 Maths - Surface Areas and Volume of Solids 84

Maths Physics Chemistry Biology

Frank ICSE Solutions for Class 9 Maths – Trigonometrical Ratios of Standard Angles

November 10, 2023May 16, 2022 by Prasanna

Frank ICSE Solutions for Class 9 Maths – Trigonometrical Ratios of Standard Angles

Ex No: 27.1
Solution 1.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 1

Solution 2.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 5
frank-icse-solutions-class-9-maths-trigonometrical-ratios-standard-angles ex.27.1.2.1

Solution 3a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 6

Solution 3b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 7

Solution 3c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 8

Solution 3d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 9

Solution 4a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 10

Solution 4b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 11

Solution 4c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 12

Solution 4d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 13

Solution 4e.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 14

Solution 4f.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 15

Solution 5a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 16

Solution 5b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 17

Solution 6.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 18

Solution 7a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 19

Solution 7b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 20

Solution 7c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 21

Solution 8.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 22

Solution 9.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 24

Solution 10.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 25

Solution 11.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 26

Solution 12a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 27

Solution 12b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 28

Solution 12c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 29

Solution 12d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 30

Solution 12e.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 31

Solution 13a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 32

Solution 13b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 33

Solution 14.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 34

Solution 15.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 35

Solution 16a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 36

Solution 16b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 37

Solution 16c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 38

Solution 16.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 39

Solution 16a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 40

Solution 16b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 41

Solution 16c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 42

Solution 16d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 43

Solution 17a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 44

Solution 17b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 45

Solution 18.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 46

Solution 19a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 47

Solution 19b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 48

Solution 20a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 49

Solution 20b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 50

Solution 20c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 51

Solution 21.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 52

Solution 22.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 54

Solution 23.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 55

Solution 24.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 56

Solution 25.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 57

Solution 26.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 58

Solution 27.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 59

Ex No: 27.2

Solution 1a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 60

Solution 1b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 61

Solution 1c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 62

Solution 1d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 63

Solution 2.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 64

Solution 3.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 65

Solution 4.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 66

Solution 5.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 67

Solution 6.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 68

Solution 7.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 69

Solution 8.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 70

Solution 9a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 71

Solution 9b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 72

Solution 9c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 73

Solution 9d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 74

Solution 9e.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 75

Solution 9f.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 76

Solution 10a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 77

Solution 10b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 78

Solution 11.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 79

Solution 12a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 80

Solution 12b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 81

Solution 13.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 82

Solution 17.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 83

Solution 18.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 84

Solution 19.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 85

Solution 20.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 87

Solution 21.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 88

Ex No: 27.3

Solution 1a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 89

Solution 1b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 90

Solution 1c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 91

Solution 1d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 92

Solution 1e.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 93

Solution 1f.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 94

Solution 2a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 95

Solution 2b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 96

Solution 2c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 97

Solution 2d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 98

Solution 2e.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 99

Solution 2f.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 100

Solution 3a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 101

Solution 3b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 102

Solution 3c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 103

Solution 3d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 104

Solution 4a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 105

Solution 4b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 106

Solution 4c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 107

Solution 4d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 108

Solution 4e.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 109

Solution 4f.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 110

Solution 5a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 111

Solution 5b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 112

Solution 5c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 113

Solution 5d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 114

Solution 5e.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 115

Solution 5f.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 116

Solution 5g.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 117

Solution 5h.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 118

Solution 5i.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 119

Solution 5j.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 120

Solution 6.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 121

Solution 7.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 122

Solution 8.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 123

Solution 9.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 124

Solution 10.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 125

Solution 11.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 126

Solution 12.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 127

Solution 13.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 128

Solution 14a.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 129

Solution 14b.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 130

Solution 14c.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 131

Solution 14d.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 132

Solution 15.
Frank ICSE Solutions for Class 9 Maths - Trigonometrical Ratios of Standard Angles 133

Maths Physics Chemistry Biology

Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4

November 10, 2023May 16, 2022 by Prasanna

Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4

Solution 1.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 1

Solution 2.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 2

Solution 3.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 3

Solution 4.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 4

Solution 5.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 6

Solution 6.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 7

Solution 7.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 8

Solution 8.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 9

Solution 9.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 10

Solution 10.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 11

Solution 11.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 12

Solution 12.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 13

Solution 13.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 14

Solution 14.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 15

Solution 15.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 16

Solution 16.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 17

Solution 17.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 18

Solution 18.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 19

Solution 19.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 20

Solution 20.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 21

Solution 21.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 22

Solution 22.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 23

Solution 23.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 24

Solution 24.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 25

Solution 25.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 26

Solution 26.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 27

Solution 27.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 28

Solution 28.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 29

Solution 29.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 30

Solution 30.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 31

Solution 31.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 32

Solution 32.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 33

Solution 33.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 34

Solution 34.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 35

Solution 35.
Frank ICSE Solutions for Class 9 Maths Profit, Loss and Discount Ex 2.4 36

Maths Physics Chemistry Biology

Line Segment, Ray and Line – Definition, Properties, Examples

May 11, 2021 by Veerendra

Are you confused about the line segment, line, and ray? This article helps you by giving plenty of information. This will have the definitions of the Line segment, Line, and Ray, Differences between a line, a line segment, ray. By knowing these elements we can understand the basic elements of geometry.

What is a Line Segment?

A line segment is a part of a line having two endpoints. The measurement of a line segment is called its length. In contrast to the line, a line segment has a fixed length and can be measured easily. A line segment with two endpoints A and B are represented as AB. We can form any shape by using the different number of line segments. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.

line segment

What is a Ray?

Ray is the special kind of a line. It is a union of a line and a line segment. Its one end is fixed and the other end can be extended to infinity. The length of the ray cannot be measured as it’s one end is non-terminating. A ray is represented by AB where the fixed end is represented by an endpoint and the infinitely extending part by an arrow. The name of the ray should be specified in capital letters. The first letter represents the fixed point and the other letter represents the nonterminating end.

ray

What is a Line?

A line is made of two points that can be extended in both directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Lines are divided into different types such as horizontal and vertical lines, parallel and perpendicular lines. By using these lines we can make the different types of polygons. For example, Four lines of the same lengths are used to form a square, whereas by joining three lines from end to end a triangle is formed.

line

Here we will discuss the differences between line segment, ray, and Line.

Properties of Line Segment

The line segment has two endpoints. It means its ends are fixed.
The length of the line segment is fixed as it has a set of endpoints. So the length can be measured.
The symbol of the line segment is represented by ⎯ .
The line segment is a part of the line with a set of endpoints.

Properties of Ray

Ray has one fixed point and another can be extended to infinite.
The length of the ray can not be determined as the other end is infinite. So the length can not be determined.
The symbol of the ray is represented by → .
Ray is a combination of line and a line segment.

Properties of Line

A line is made up of two points that can be extended in both directions infinitely.

The length of the line can not be determined as both ends are infinite. So the length can not be determined.

The symbol of the ray is represented by ↔ .

FAQs on Line, Ray, and Line Segment

1. What is the difference between Line and Ray?

The line is made up of two points that can be extended in both directions infinitely.

Ray is a combination of line and a line segment. Its starting point is fixed and the other is infinite.

2. Can we find the Length of the Ray and Line?

Ray’s starting point is fixed and the other is infinite. So we can not measure the length of the ray.
The line is made up of a set of points and can extend to infinity in both directions. So the length of the line can not be measured.

3. Can we find the Length of the Line Segment?

The line segment has two endpoints. It means its ends are fixed. So we can easily measure the length of the line segment.

4. What is the Line Segment?

A line segment is a part of the line. It is made up of two endpoints.

5. What is the Symbol of a Line?

The symbol of a line is ↔

6. What is the Symbol of the Line Segment?

The symbol of the line segment is ⎯

Variables and Constants in Algebra

December 24, 2020December 24, 2020 by Veerendra

Variables and Constants in Algebra

LITERALS OR VARIABLES
The letters used to represent numbers or some other quantities in general are called literal numbers or simply literals. Literals can take any value. They are also called variables.

For example,
Rohan borrowed x = Rs. 50 from Suresh;
Mona got y = 16 candies.
Hence, x and y denote numbers and are called literal numbers.
In the formula for the area of a rectangle, the letters ‘l’ and ‘b’ are variables.
In a rectangle of length 16 cm and breadth 5 cm, l = 16 cm and b = 5 cm.
Area of the rectangle (A)
= l × b = 16 × 5 sq cm
= 80 sq cm.

Operations of literal numbers
Since literal numbers or variables are used to represent numbers, they follow all the rules for four fundamental operations of numbers.

Addition: Let x and y be two literals, then the sum of literals x and y is written as x + y.
Example: The sum of two numbers is 60. In algebraic language we write it as x + y =60
Subtraction: Let x and y be two literals, then the difference of these two literals is written as x – y or y – x.
Example: x is decreased by y. It is written as x – y.
Multiplication: In algebra, multiplication of two literals x and y is written as either with dot or multiplication sign, i.e., x.y or x × y.
Example: Let x = 6 and y = 5,
then x × y = 6 × 5 = 30
Division: In algebra, x divided by y is written as x + y.
Example: If x = 3 and y = 5;
then x ÷ y = 3/5
Power of a literal: If a literal x is multiplied five times by itself then it is written as x × x × x × x × x = x⁵
(read as x to the power 5)
Similarly,
y × y × y = y³ {y to the power 3)
a × a × a × a = a⁴ (a to the power 4)
Here, x, y, a are base and 5, 3, 4 are called exponent or power.

CONSTANT
A symbol having a fixed numerical value is called a constant. Its value does not change with the change in question or situation.
Example: The value of number 2 always remains 2, irrespective of the changing situations.