Home
Class 12
MATHS
If h(x)=(x^(3)-a^(3))/(x-a), then find h...

If `h(x)=(x^(3)-a^(3))/(x-a)`, then find h(a).

A

`(h(x))/(h(pi))`

B

`h(x)h(pi)`

C

`h(x)-h(pi)`

D

`h(x)+h(pi)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2007

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|100 Videos
  • QUESTION PAPER 2009

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(1)/(x) , then find the value of theta in the mean value theorem f(x+h)=f(x)+hf'(x+theta h), 0 lt theta lt 1 .

In the following Lagrange's mean value theorem, f(a+h)-f(a)=hf'(a+theta h), 0 lt theta lt 1 If f(x)=(1)/(3) x^(3)-(3)/(2) x^(2)+2x, a=0 and h=3 " find " theta .

If h(x)=[f(x)]^(2)+[g(x)]^(2) and f'(x)=g(x), f''(x)=-f(x) , h(5)=10 find h(10).

If f(x)=2/(x-3),g(x)=(x-3)/(x+4) , and h(x)=-(2(2x+1))/(x^2+x-12) then lim_(x->3)[f(x)+g(x)+h(x)] is (a) -2 (b) -1 (c) -2/7 (d) 0

Graph of y=f(x) and y=g(x) is given in the following figure. If h(x)= f(g(x)) , then find the value of h'(2) .

If f(x)=1/(4x^(2)) , then proved that (f(x-h)-f(x+h))/h=x/((x^(2)-h^(2))^(2))

If f(x) = e^(x + a) , g(x) = x^(b^2) and h(x) = e^(b^2 x) , then find the value of (g{f(x)})/(h(x))

If f(x)=Ax^(2)+Bx+C and A ne 0 then find the value of theta in Lagrange's mean value theorem, f(x+h)=f(x)+h f'(x+theta h) .

If fa n dg are two distinct linear functions defined on R such that they map {-1,1] onto [0,2] and h : R-{-1,0,1}vecR defined by h(x)=(f(x))/(g(x)), then show that |h(h(x))+h(h(1/x))|> 2.

If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. Find int0^(pi/2) logtanxdx

    Text Solution

    |

  2. Find int 1/sqrt(2x-x^2)dx

    Text Solution

    |

  3. If h(x)=(x^(3)-a^(3))/(x-a), then find h(a).

    Text Solution

    |

  4. The value of (1-omega+omega^(2))^(5)+(1+omega-omega^(2))^(5), where om...

    Text Solution

    |

  5. The degree of the differential equation [1+((dy)/(dx))^(2)]^(5//3)=(d^...

    Text Solution

    |

  6. The differential equation of all parabolas whose axes are parallel to ...

    Text Solution

    |

  7. The solution of the differential equation (dy)/(dx)=e^(y+x)+e^(y-x) is

    Text Solution

    |

  8. The value of the integral int(0)^(2)|x^(2)-1|dx is

    Text Solution

    |

  9. If x=e^(t)sint, y=e^(t)cost then (dy)/(dx) at t=pi is

    Text Solution

    |

  10. The value of (dy)/(dx) at x=(pi)/(2), where y is given by y=x^(sinx)+s...

    Text Solution

    |

  11. The value of int(0)^(pi)|cosx|dx is

    Text Solution

    |

  12. The value of int(-3)^(3)(ax^(5)+bx^(3)+cx+k)dx, where a, b, c, k are c...

    Text Solution

    |

  13. The value of the integral int(-a)^(a)(xe^(x^(2)))/(1+x^(2))dx is

    Text Solution

    |

  14. The value of the limit lim(nrarroo)((1)/(n+1)+(1)/(n+2)+.......+(1)/(6...

    Text Solution

    |

  15. The order and degree of the following differential equation [1+((dy)/(...

    Text Solution

    |

  16. The differential equation of the family of circles passing through the...

    Text Solution

    |

  17. The differential equation of the family of curves y=e^(2x)(acosx+bsinx...

    Text Solution

    |

  18. Lt(xrarr(pi)/(2))(a^cotx -a^cosx)/(cotx-cosx),agt0

    Text Solution

    |

  19. Rolle's theorem is not applicable to the function f(x)=|x| for -2lexle...

    Text Solution

    |

  20. The equation of the circle which passes through the points of intersec...

    Text Solution

    |