Home
Class 12
MATHS
If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^...

If `y^2=a x^2+b x+c` , then `y^3(d^2y)/(dx^2)` is (a) a constant (b) a function of `x` only (c) a function of `y` only (d) a function of `x` and `y`

A

a function of x and y

B

a function of y only

C

a function of x only

D

a constant

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos
  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

If y^(2)=ax^(2)+bx+c, then y^(3)(d^(2)y)/(dx^(2)) is a constant (b) a function of x only (c) a function of y only (d) a function of x and y

If y^(2)=ax^(2)+bx+c, then y^(3)(d^(2)y)/(dx^(2)) is (a)a constant ( b) a function of x only (c)a function of y only (d)a function of xandy

If y=a sin x+b cos x, then y^(2)+((dy)/(dx))^(2) is a (a)function of x( b) function of y (c) function of x and y(d) constant

If x+|y|=2y, then y as a function of x is

If (x)/(y)+(y)/(x)=2," then: "(d^(2)y)/(dx^(2))=

If y = Ae^(5x) + Be^(-5x) , then (d^2y)/(dx^2) is equal to : (a) 25y (b) 5y (c) -25y (d) 15y

If y is a function of x then (d^(2)y)/(dx^(2))+y backslash(dy)/(dx)=0 If x is a function of y then the equation becomes

For a function y = x cos x then ( d^(2) y)/( dx^(2)) is equal to

If sin(x+y)=log(x+y), then (dy)/(dx)=(a)2 (b) -2(c)1(d)-1]

If the function y= sin^(-1)x, "then" (1-x^(2))(d^(2)y)/(dx^(2)) is equal to

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If x^my^n = (x + y)^(m+n), prove that (d^2y)/(dx^2)=0.

    Text Solution

    |

  2. If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y ...

    Text Solution

    |

  3. If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a fun...

    Text Solution

    |

  4. if (x-a)^2+(y-b)^2=c^2 then {1+((dy)/(dx))^2}/{(d^2y)/(dx^2)} =?

    Text Solution

    |

  5. If f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n(n-1)(n-2))/(6) x^(3) + ...+...

    Text Solution

    |

  6. If y=5" cos"x-3" sin"x, prove that (d^(2)y)/(dx^(2))+y=0.

    Text Solution

    |

  7. If y=sec x -tan x ,then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  8. If y=cos ^(2) ((3x) /( 2))-sin ^(2) ((3x)/( 2) ),then (d^(2)y)/( dx^(...

    Text Solution

    |

  9. If y= sin x sqrt ( cos x ) ,then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  10. If y=cos (log x) ,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  11. The number of values of b , for which in an acute triangle A B C , the...

    Text Solution

    |

  12. If y=a^(x) b^(2x-1) ,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  13. If y=cos^(-1)x , find (d^2y)/(dx^2) in terms of y alone.

    Text Solution

    |

  14. if y=tan^(- 1)x ,find (d^2y)/(dx^2).

    Text Solution

    |

  15. If y=(tan^(-1)x)^2, then (x^2+1)^2 (d^2y)/(dx^2) + 2x(x^2+1) dy/dx=

    Text Solution

    |

  16. If y=log ((x^(2))/( e^(x))) ,then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  17. If y = log(sin x), find (d^2y)/(dx^2)

    Text Solution

    |

  18. "If "y= sin x +e^(x)," then "(d^(2)x)/(dy^(2))=

    Text Solution

    |

  19. If x^(2)+y^(2) =1,then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  20. If sin ( x+y) +cos (x+y) =log (x+y) ,then (d^(2)y)/(dx^(2))=

    Text Solution

    |