CBSE Class 12 Mathematics Sample Papers, CBSE Class 12 Maths 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 :

icbse maths CBSE Class 12 Mathematics Sample Unit Test

2. Evaluate [ π/3 - sin-1(-1/2)]


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

icbse maths1 CBSE Class 12 Mathematics Sample Unit Test

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


5. Let

A =

icbsemaths CBSE Class 12 Mathematics Sample Unit Test

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:

icbse maths CBSE Class 12 Mathematics Sample Unit Test


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