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Important Questions

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-1w.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
  1. Application of Derivatives
  2. Inverse Trigonometric Functions
  3. Matrices
  4. Determinants
  5. Integrals
  6. Differential Equations
  7. Application of Integrals
  8. Continuity & Differentiation
  9. Vector Algebra
  10. Three Dimensional Geometry
  11. Probability
  12. Linear Programming
  13. Relations & Functions