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Important Questions

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. Find when y =

Q. 19. Show that the system of equations given below is consistent and hence solve them:

Q. 20. If , show that , hence show that the result holds good when

.

Q. 21. Find when

Show that :

Q. 22. 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 .

. 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