CBSE 12TH MATHEMATICS - Online Test

Q1. If A is a non singular matrix of order 3 , then  =
Answer : Option A
Explaination / Solution:

If A is anon singular matrix of order , then 
Q2.
Answer : Option A
Explaination / Solution:

The tangents are
since .
It passes through ( -2 , 0 ).

The tangents are :

Required area :

Q3. If a unit vector  makes angles , then find 
Answer : Option C
Explaination / Solution:

Let

It is given that   

, then,

Putting these values in (1), we get:


Q4. If f (x) = f (a –x), then ,  is equal to
Answer : Option C
Explaination / Solution:



Q5. cos(cos1(725))=
Answer : Option D
Explaination / Solution:



Q6. The equations, x + 4 y – 2 z = 3, 3 x + y + 5 z = 7, 2 x + 3y +z = 5 have
Answer : Option D
Explaination / Solution:

The given system of equations does not have solution if :
Q7. If x = a then  is equal to
Answer : Option B
Explaination / Solution:

dydx=dydtdxdt=3asin2tcost3acos2t(sint)=tant
Q8. Find the distance of the point (– 6, 0, 0) from the plane 2x – 3y + 6z – 2 = 0
Answer : Option B
Explaination / Solution:



Q9. Solution of  is
Answer : Option C
Explaination / Solution:



Q10. Rolle’s Theorem is not applicable to the function f(x) = | x | for −2⩽x⩽2 because
Answer : Option C
Explaination / Solution: