Plus One Maths Previous Year Question Paper March 2017

Plus One Maths Previous Year Question Papers and Answers 2017 are part of Plus One Maths Previous Year Question Papers and Answers. Here we have given Plus One Maths Previous Year Question Papers and Answers 2017.

Kerala Plus One Maths Previous Year Question Paper March 2017 with Answers

Time Allowed: 2 1/2 hours
Cool off time: 15 Minutes
Maximum Marks: 80

General Instructions to Candidates

• There is a ‘cool off-time’ of 15 minutes in addition to the writing time of 2 1/2 hrs.
• You are neither allowed to write your answers nor to discuss anything with others during the ‘cool off time’.
• Use the ‘cool off time’ to get familiar with the questions and to plan your answers.
• Read questions carefully before you answering.
• All questions are compulsory and the only internal choice is allowed.
• When you select a question, all the sub-questions must be answered from the same question itself.
• Calculations, figures, and graphs should be shown in the answer sheet itself.
• Malayalam version of the questions is also provided.
• Give equations wherever necessary.
• Electronic devices except non-programmable calculators are not allowed in the Examination Hall.

Question 1.
a. Sin 405° = …………

b. Sin x = \(\frac { 3 }{ 5 }\) , x
lies in the second quadrant, Find the values of Cos x, Sec x, Tan x and Cot
c. Solve: Sin 2x – Sin 4x + Sin 6x = 0
OR
a. \(\frac { 7\pi }{ 6 } \) radian = degree.
i. 210
ii. 300
iii. 240
iv. 120
b. Find the value of Tan 75°
c. In any triangle ABC, prove that
a. Sin (B – C) + b Sin (C-A) +
c. Sin (A – B) = 0

Question 2.
a. If U is the universal set and A is any set then U ∩ A = ………
i.U
ii. A
iii. φ
iv. A’
b. Consider the sets
U = {a,b,c,d,e,f,g}.
A = {b,c,d,e} and
B = {a,c,g}.
Find A’ and B’ and then verify that (A∪B)’=A’∩ B’.
c. In a group of 400 people, 250 can speak Hindi, and 200 can speak Malayalam. How many people can speak both Hindi and Malayalam?

Question 3.
Consider the statement “10^{2n – 1} +1 is divisible by 11”. Verify that P (1) is true and then prove the statement by using Mathematical induction.

Question 4.
a. The domain of the function f(x) = \(\frac { 1 }{ x-1 }\)
i. {1}
ii. R
iii. R – {1}
iv. R-{0}
b. A relation R on the set of natural numbers is defined by R = {(x, y) : y = x + 5 ; x is a natural number less than 4, x, y ∈ N}.
i. Write the relation in Roster form
ii. Write the domain and range of the
c. Draw the graph of the function f(x) = |x|, x ∈ R.

Question 5.
a. i ¹⁸ = ………
ii. 0
iii.-1
iv. i
b. Represent the complex number √3+i in Polar form.
c. Find the square root of the complex number – 8 – 6i.

Question 6.
a. Solve the inequality  \(\frac { x }{ 3 }\) > \(\frac { x }{ 2 }\) +1
b. Solve the system of inequalities graphically:
2x + y ≥ 6
3x + 4y ≤ 12

Question 7.
a. If \(\frac { 1 }{ 6! }\)+ \(\frac { 1 }{ 7! }\)+ \(\frac { x }{ 8! }\) then x is………..
i. 32
ii. 16
iii. 64
iv. 8
b. Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags one below the other?
c. Find r if; 5P = 2. 6P r
OR
a. If n ⁿC₉ = ⁿC₈, then n =
i. 9
ii. 8
iii. 17
iv. 1
b. How many chords can be drawn through 12 points on a circle?
c. What is the number of ways of choosing 4 cards from a pack of 52 playing cards? In how many of these :
i. Four cards are of the same suit?
ii. Cards are of the same colour?

Question 8.
a. The slope of the line passing through the points (3, -2) and (7, -2) is……….
i. -1
ii. 2
iii. 0
iv. 1
b. Reduce the equation 6x + 3y – 5 = 0 into slope-intercept form and hence find its slope and y-intercept.
c. Find a point on the x-ax is which is equidistant from the points (7, 6) and (3, 4).

Question 9.
a. Find the equation of the parabola with focus (6, 0) and the equation of the directrix is x = – 6.
b. Find the coordinates of the foci, the vertices, the length of transverse and conjugate axis and eccentricity of the hyperbola
\(\frac { { x }^{ 2 } }{ 16 } -\frac { { y }^{ 2 } }{ 9 } =1\)

Question 10.
a. The sum of the infinite series

b. Find the sum of all-natural numbers lying between 100 and 1000 which are multiples of 5.
c. Find the sum to n terms of the sequence 8, 88, 888,……….
OR
a. The 6th term of the G.P
\(\frac { 1 }{ 2 }\), \(\frac { 1 }{ 4 }\), \(\frac { 1 }{ 8 }\),……. is ……..
i. \(\frac { 1 }{ 32 }\)
ii.\(\frac { 1 }{ 64 }\)
iii. \(\frac { 1 }{ 16 }\)
iv. \(\frac { 1 }{ 128 }\)
b. The sum of the first three terms of a G.P. is \(\frac { 13 }{ 12 }\) and their product is -1. Find the common ratio and the terms.
c. Find the sum to n terms of the series 3 x 1² + 5 x 2²+ 7 x 3² +……………

Question 11.
Consider the expansion of \({ \left( x+\frac { 1 }{ x } \right) }^{ 10 }\)
a. The number of terms in the expansion is
i. 10
ii. 9
iii. 11
iv. 12
b. Find the term Which is independent of x in the above expansion

Question 12.
a. The distance between the points (1, -2, 3) and (4, 1, 2) is
i. √12
ii. √19
iii. √11
iv. √15
b. The centroid of a triangle ABC is at the point (1,2, 3). If the coordinates of A and B are (3, -5, 7) and (-1, 7, -6) respectively. Find the coordinates of

Question 13.

c. Find the derivative of f(x)=Sinx by using the first principle.

Question 14.
a. Write the contrapositive of the statement “If a number is divisible by 9, then it is divisible by 3 ”.
b. Prove by the method of contradiction, “P : √5 is irrational”.

Question 15.
a. Match the following:

b. Two dice are thrown at random. Find the probability of…………..
i. getting a doublet
ii. getting sum of the numbers on the dice 8.

Question 16.
a. Find the variance for the observations 2, 4, 6, 8, and 10.
b. Consider the frequency distribution

i. Find the mean
ii. Find the mean deviation about the mean.

Plus One Maths Previous Year Question Papers and Answers