CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Anil Kumar Tondak

CBSE CLASS XII

Continuity & Differentiation

Q. 1. Find the values of a and b such that the function defined by f(x) = ( 5, if x £ 2 ax + b if 2<x<10 21, if x 10 ) is a continuous function

Q. 2. Find of sin²y + cos (xy) = p

Q. 3. Differentiate w.r.t. x x cosx)^x + (x sinx)^1/x

Q. 4. If x = , = show that

Q. 5. If y = (tan^-1x)², show that (x² + 1)² y² + 2x (x² + 1) y1 = 2.

Q. 6. Differentiate sin-1 w.r.t. x

Q. 7. If x for -1<x<1, show that

Q. 8. Find if y = a ^{t + 1A} , x = ( t + 1/t)^a

Q. 9. Discuss the continuity of the function given by :-

Q. 10. If the function f(x) is given by f(x) =

is continuous at x = 1, find the values of a and b.

Q. 11. If y = [x + ]ⁿ, then prove that

Q. 12. Prove :

Q. 13. Find when y = sec^-1

Q. 14. If e^x + e^y = e^x+y, prove that

Q. 15. Given that cos

prove that

Q. 16. If x=a(q + sinq), y= a(1+ cosq), prove that

Q. 17.

Q. 18. Find the value of ‘k’ if

 is continuous at x =

Q. 19. If

Q. 20. If Cos y = x Cos² ( a + y ) , with Cos a ≠ 1, prove that

Paper By Mr. Anil Kumar Tondak
Email Id : [email protected]