CBSE Guess > Papers > Important Questions > Class XII > 2009 > Maths > Mathematics By Mr. Ashok Khugshal
CBSE CLASS XII
Q. 1. 
Show that f is continuous at x = 1.
Q. 2. Differentiate 
w.r.t 
Q. 3. Let 
and 
. Show that F(A)= 0 .Use this result to find out 
.
Q. 4. Without expanding show that :-
Q. 5. Show that 
is continuous both at x = 0 and x =1.
Q. 6. Differentiate 
with respect to 
Q. 7. Show that 
.
Q. 8. Find 
if 
Q. 9. Let the two matrices A and B be given by
Verify that AB=BA=6I , where I is a unit matrix of order 3 and hence solve the system of equations : x – y =3; 2 x + 3 y +4z =17; Y + 2z = 7
Q. 10. If 
, find 
and hence solve the system of equations:
Q. 11. Differentiate 
with respect to 
.
Q. 12. If 
verify that 
.
Q. 13. If 
, prove that
Q. 14. Find matrix X for which
, where 
is cube root of unity.
Q. 15. Find X if
Q. 16. Find a and b so that the function f is given by 
is continuous at x=3 and x=5.
Q. 17. If x = sin t y = sin mt , prove that : 
Q. 18. 
when y = 
Q. 19. Show that the system of equations given below is consistent and hence solve them:
Q. 20. 
Q. 21. If 
, show that 
, hence show that the result holds good when
.
Find 
when 
Q. 22. Show that :
is continuous at x=0.
Q. 23. Differentiate 
w .r. t. 
Q. 24. If y = 
, find 
.
Q. 25. Prove that 
.
Q. 26. If 
then prove that
Q. 27. If 
; prove that 
Q. 28. For what values of a and b , the following system of equations is consistent?
.
Q. 29. If 
Prove that
is a constant independent of a and b.
Q. 30. If y = 
than show that 
Q. 31. Determine the value of ‘k’ so that the function:
is continuous at x = 
Q. 32. If A = 
, find 
and show that 
.
Q. 33. If 
, find 
.
Q. 34. If 
, find 
.
Q. 35. If 
then 
at t = 
.
Q. 36. Prove , using properties of determinants that 
Q. 37. If 
find 
.
Q. 38. If 
, find 
.
Paper By Mr. Ashok Khugshal
