Home
Class 12
MATHS
If y=a t^2+2b t+c&t=a x^2+2b x+c , then ...

If `y=a t^2+2b t+c&t=a x^2+2b x+c ,` then `(d^3y)/(dx^3)` equals `24 a^2(a t+b)` (b) `24 a(a x+b)^2` `24 a(a t+b)^2` (d) `24 a^2(a x+b)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If x = t^(2) and y = t^(3) , then (d^(2)y)/(dx^(2)) is equal to

If x = t^(2) and y = t^(3) , then (d^(2)y)/(dx^(2)) is equal to

If x= asin t- b cos t ,y=a cost +bsin t,then y^(3) (d^(2) y)/(dx^(2) )=

If x=A cos 4t+B sin4t, then (d^(2)x)/(dt^(2)) is equal to

If x=log(1+t^(2)),y=2t-2tan^(-1)t, then at t = 1(d^(2)y)/(dx^(2)) equals-

If x=at^(2),y=2at, then (d^(2)y)/(dx^(2)) is equal to ( a )-(1)/(t^(2))( b) (1)/(2at^(2))(c)-(1)/(t^(3)) (d) (1)/(2at^(3))

If x= sin t and y= sin^(3)t , then (d^(2)y)/(dx^(2)) at t=pi/2 is

If x=t^(2),y=t^(3) what is (d^(2)y)/(dx^(2)) equal to ?

RESONANCE DPP-JEE MAINS-All Questions
  1. Let f(x)={(sinx^2)/xx!=0 0x=0, then f^(prime)(0^+)+(0^-) has the value...

    Text Solution

    |

  2. The equation of a line 4x-4y-z+11=0=x+2y-z-1 can be put as x/2=(y-2)/1...

    Text Solution

    |

  3. If y=a t^2+2b t+c&t=a x^2+2b x+c , then (d^3y)/(dx^3) equals 24 a^2(a ...

    Text Solution

    |

  4. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero ve...

    Text Solution

    |

  5. If [ vec a vec b vec c]=2 and vec x=2 vec a+3 vec b+ vec c , vec y= v...

    Text Solution

    |

  6. Let u=int0^1("ln"(x+1))/(x^2+1)dxa n dv=int0^(pi/2)ln(sin2x)dx ,t h e ...

    Text Solution

    |

  7. int(-1/(sqrt(3)))^(1/(sqrt(3)))(cos^(-1)((2x)/(x^2+1))+tan^(-1)((2x)/(...

    Text Solution

    |

  8. Find the integral value of n for which lim(x->0)(cos^2x-cosx-e^xcos...

    Text Solution

    |

  9. If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) i...

    Text Solution

    |

  10. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

    Text Solution

    |

  11. 1)int(-pi/2)^pi sin^(-1) (sinx) dx 2)int(-pi/2)^(pi/2) (-pi/2)/(sqr...

    Text Solution

    |

  12. if f(x) = lim(n->oo) 2/n^2(sum(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where...

    Text Solution

    |

  13. int(sqrt(1+x^2)-x)^n dx

    Text Solution

    |

  14. The expression [(1+sin(pi/8)+icos(pi/8))/(1+sin(pi/8)-icos(pi/8))]^8 i...

    Text Solution

    |

  15. if the roots of the equation z^(2) + ( p +iq) z + r + is =0 are real ...

    Text Solution

    |

  16. The expression in the vector form for the point vec r1 of intersectio...

    Text Solution

    |

  17. If the function f(x)=(x^2)/2+lnx+a x is always monotonically increasi...

    Text Solution

    |

  18. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

    Text Solution

    |

  19. The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...

    Text Solution

    |

  20. "S o l v e"int0^(pi/2)(cosx)/((1+sinx)(2+sinx))dx

    Text Solution

    |