CBSE Guess > Papers > Important Questions > Class XII > 2008 > Maths > Maths By Mrs. Geethanjali Bhatt
CBSE CLASS XII
Q. 1. 
Ans. x = 1, z = 4, y = 3
Q. 2. 
Ans. -1
Q. 3. Using the method of matrices solve 
Ans. 
Q. 4. Using properties of determinants solve for x 
Ans. 
Q. 5. If 
Q. 6. If 
Q. 7. 
Ans. a = 1, b = -1
Q. 8. 
Ans. a = 1/2
Q. 9. Solve for x : 2tan-1 (cosx) = tan-1 (2cosx)
Ans. x = 2n P ± P /2
Q. 10. (a) If tan-1 x + tan-1 y + tan-1 z = P /2 .Evaluate xy + yz + xz
Ans. 1
(b) If tan-1 x + tan-1 y + tan-1 z = P Evaluate
Q. 11. Show that
- sin.cot -1 tan cos -1 x = x
- sec2 (tan-1 2)+cosec2 (cot-13) = 15
Q. 12. Prove that the function f : R -> {x E R -1<x<1} defined by f(x) = 
is one -one and onto function and hence find its inverse.
Q. 13. Let A=QxQ.Let * be a binary operation on A defined by (a,b) * (c,d)=(ac,ad+b).
- Find the identity element
- Find the invertible element .
Ans. (i) (1,0) (ii) (1/a,-b/a)
Q. 14. If 
Ans. 
Q. 15. 
Ans. 
Q. 16. 
Ans. 
Q. 17. 
Ans. 
Q. 18. 
Q. 19. 
Ans. 
Q. 20. f : [ 0, 1] --> [0, 1] be defined by f(x) = 
g : [0, 1] --> [0, 1] be defined by g(x) = 4x (1 - x) find fog and gof
Ans. 
Q. 21. Differentiate log 
Ans. 
Q. 22. y = 
Ans. 1/2
