Home
Class 11
MATHS
If a x^2+2h x y+b y^2=1,t h e n(d^2y)/(d...

If `a x^2+2h x y+b y^2=1,t h e n(d^2y)/(dx^2)` is (a)`(h^2-a b)/((h x+b y)^2)` (b) `(a b-h^2)/((h x+b y)^2)` `(h^2+a b)/((h x+b y)^2)` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

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

If x=t^2,y=t^3,t h e n(d^2y)/(dx^2) is (a) 3/2 (b) 3/(4t) (c) 3/(2t) (d) (3t)/2

If y=a x^(n)+b x^(-n) ,then x^2(d^2y)/(dx^2) is equal to

If y=a e^(m x)+b e^(-m x), then (d^2y)/(dx^2) is equals to

If y=tan^(-1)sqrt((x+1)/(x-1)),t h e n(dy)/(dx)i s (a) (-1)/(2|x|sqrt(x^2-1)) (b) (-1)/(2xsqrt(x^2-1)) (c) 1/(2xsqrt(x^2-1)) (d) none of these

If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx) at x=0 is

If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to (a) n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga ,t h e n(dy)/(dx) is equal to (a) x/y (b) y/(x^2) (C) (x^2-y^2)/(x^2+y^2) (d) y/x

If af(x+1)+bf(1/(x+1))=x ,x!=-1,a!=b ,t h e nf(2) is equal to (a) (2a)/(2(a^2-b^2)) (b) a/(a^2-b^2) (c) (a+2b)/(a^2-b^2) (d) none of these

If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s (a) (-2)/(1+x^2) for all x (b) (-2)/(1+x^2) for all |x| 1 (d) none of these

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Let f be a twice differentiable function such that f"(x) = -f(x) , and...

    Text Solution

    |

  2. Let y=e^(x sin x^3)+(t a n x)^x Find (dy)/(dx)

    Text Solution

    |

  3. If a x^2+2h x y+b y^2=1,t h e n(d^2y)/(dx^2) is (a)(h^2-a b)/((h x+b...

    Text Solution

    |

  4. If y=sinp x and yn is the n t h derivative of y , then |[y, y1,y2],[y3...

    Text Solution

    |

  5. A function f, defined for all positive real numbers, satisfies the eq...

    Text Solution

    |

  6. If y=x-x^2, then the derivative of y^2 with respect to x^2 is (a)1...

    Text Solution

    |

  7. The first derivative of the function [cos^(-1)(sinsqrt((1+x)/2))+x^x]...

    Text Solution

    |

  8. The function f(x)=e^x+x , being differentiable and one-to-one, has a ...

    Text Solution

    |

  9. Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , w...

    Text Solution

    |

  10. Suppose y=e^(a x)+e^(b x), find y''

    Text Solution

    |

  11. If y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/((sqrt(a-x)+sqrt(x-b)) ,then (d...

    Text Solution

    |

  12. If y= 7x^5, then (dy)/(dx)

    Text Solution

    |

  13. The n t h derivative of the function f(x)=1/(1-x^2)[w h e r ex in (-1,...

    Text Solution

    |

  14. Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=...

    Text Solution

    |

  15. Statement 1: Let f: R -> R be a real-valued function AAx ,y in R such...

    Text Solution

    |

  16. Statement 1: For f(x)=sinx ,f^(prime)(pi)=f^(prime)(3pi) Statement 2...

    Text Solution

    |

  17. f:R^+ ->R is a continuous function satisfying f(x/y)=f(x)-f(y) AAx,y i...

    Text Solution

    |

  18. f(n)(x)=e^(f(n-1)(x))" for all "n in N and f(0)(x)=x," then "(d)/(dx){...

    Text Solution

    |

  19. Suppose f and g are functions having second derivative f'' and g' ' ev...

    Text Solution

    |

  20. If y=e^(-x)cosxa n dyn+kn y=0,w h e r eyn=(d^(n y))/(dx^n)a n dkn are ...

    Text Solution

    |