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 ex + ey = ex+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]
