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

Time: 2½ Hours
Cool off time : 15 Minutes

General Instructions to Candidates

  • There is a ‘cool off time’ of 15 minutes in addition to the writing time of 2½ hrs.
  • During the ‘cool off’ period, you cannot type your answers or discuss anything with anyone.
  • Use the ‘cool off time’ to familiarize yourself with the questions and to prepare your answers.
  • Read questions carefully before you answer.
  • Only internal choice is allowed and all questions are compulsory.
  • Selecting a question means answering all the sub-questions from that question.
  • The answer sheet itself should include calculations, graphs, and figures.
  • Malayalam version of the questions is also provided.
  • Provide equations whenever necessary.
  • In the Examination Hall, electronic devices other than non-programmable calculators are not permitted.

Question 1.
a. Let R be a relation defined on A = {1,2, 3} by R = {(1,3), (3, 1), (2, 2)}.R is
a. Reflexive
b. Symmetric
c. Transitive
d. Reflexive but not transitive

b. Find fog and gof if f(x) = |x + 1| and g(x) = 2x – 1.

c. Let * be a binary operation defined on N x N by (a, b) * (c, d) = (a + c, b + d). Find the identity element for * if it exists.

Question 2.
Plus Two Maths Previous Year Question Paper March 2017 Q2

Question 3.
Plus Two Maths Previous Year Question Paper March 2017 Q3

Question 4.
Plus Two Maths Previous Year Question Paper March 2017 Q4

Question 5.
Plus Two Maths Previous Year Question Paper March 2017 Q5

Question 6.
Slope of the normal to the curve y2 = 4x at (1, 2) is
a. 1
b. 12
c. 2
d.-1

b. Find the interval in which 2x3 + 9x2 + 12x – 1 is strictly increasing.
OR
a. The rate of change of volume of a sphere with respect to its radius when the radius is 1 unit
a. 4π
b. 2π
c. π
d. π2

b. Find two positive numbers whose sum is 16 and the sum of whose cubes are minimum.

Question 7.
Plus Two Maths Previous Year Question Paper March 2017 Q7

Question 8.
Plus Two Maths Previous Year Question Paper March 2017 Q8

Question 9.
Plus Two Maths Previous Year Question Paper March 2017 Q9

Question 10.
Plus Two Maths Previous Year Question Paper March 2017 Q10

Plus Two Maths Previous Year Question Paper March 2017 Q10.1

Question 11.
Plus Two Maths Previous Year Question Paper March 2017 Q11

Question 12.
a. The angle between the vectors iˆ + jˆ and jˆ + kˆ is
(i) 60°
(ii) 30°
(iii) 45°
(iv) 90°
Plus Two Maths Previous Year Question Paper March 2017 Q12

Question 13.
a. The line x – 1 = y = z is perpendicular to the line
Plus Two Maths Previous Year Question Paper March 2017 Q13
b. Find the shortest distance between the lines
Plus Two Maths Previous Year Question Paper March 2017 Q13.1

Question 14.
Plus Two Maths Previous Year Question Paper March 2017 Q14

Question 15.
Consider the linear programming problem :
Maximize Z = 50x + 40y
Subject to the constraints
x + 2y > 10
3x + 4y < 24
x > 0, y > 0
a. Find the feasible region.
b. Find the comer points of the feasible region.
c. Find the maximum value of Z.
Maximize Z = 50x + 40y
Subject to the constraints
x + 2y > 10
3x + 4y < 24
x > 0, y > 0

Question 16.
If A and B are two events such that A ⊂ B and P(A) ≠ then P (A/B) is
a. P(A)P(B)
b. P(B)P(A)
c. 1P(A)
d. 1P(B)

b. There are two identical bags. Bag I contains 3 red and 4 black balls while Bag II contains 5 red and 4 black balls. One ball is drawn at random from one of the bags.
i. Find the probability that the ball is drawn is red.
ii. If the ball drawn is red what is the probability that it was drawn from the bag I?
OR
Consider the following probability distribution of a random variable X.
Plus Two Maths Previous Year Question Paper March 2017 Q16

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