CBSE Class 12 Mathematics Sample Unit Test

MATHEMATICS

CLASS – XII

UNIT TEST

M.M. : 20                                                                                                                   Time : 1 hour

General Instructions

(i)      All the questions are compulsory.

(ii)    Q. No. 1 to 4 carry 1 mark and Q. No. 5 to 8 carry 4 marks each.

1. Find the co-factor of a₃₂ in the following :

2. Evaluate   [ π/3 - sin^-1(-1/2)]

3. Find the values of x, y and z from the following equations:

4. If f(x) = x+7 and g(x) = x-7, X ∈R, find fog(7).

5. Let

A =

Express A as sum of two matrices such that one is symmetric and the other a skew symmetric matrix.

6. Using matrix method solve the system of linear equations.

x + y + z = 3

2x + y + z = 4

x + 3y + 2z = 6

7. Using properties of determinants, prove that:

8.(i) Show that * R x R -> R given by a*b = a + 3b is not associative.

(ii) Prove that sin^-1 8/17 + sin^-1 3/5 = tan^-1 77/36

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