CBSE Guess > Papers > Important Questions > Class XII > 2009 > Maths > Mathematics By 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 
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 + 1/t x = ( t + 1/t)a
Q. 9. Discuss the continuity of the function given by:-
f(x) = |x - 1| + |x - 2| at x = , and x = 2
Q. 10. If the function f(x) is given by f(x) = { 3ax + b) if x>1if x = 1(5ax – 2b if x<1}
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 
Prepared By Anil Kumar Tondak
M.Sc.(Maths), M.Ed.,
M.A.(Eco),M.B.A.(Mkt)
Mob No. 9811363962
| Maths |
