Home
Class 12
MATHS
If xsqrt(1+y)+ysqrt(1+x)=0, then (dy)/(d...

If `xsqrt(1+y)+ysqrt(1+x)=0,` then `(dy)/(dx)` is equal to `1/((1+x)^2)` (b) `-1/((1+x)^2)` `1/((1+x^2))` (d) `1/((1+x))`

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 sqrt(1+y)+y sqrt(1+x)=0, then (dy)/(dx) is equal to (1)/((1+x)^(2))(b)-(1)/((1+x)^(2))(1)/((1+x^(2)))(d)(1)/((1+x))

If xsqrt(y)+ysqrt(x)=1"then"(dy)/(dx) equals -

If x=ysqrt(1-y^(2)) , then (dy)/(dx)=

If y=sqrt((1-x)/(1+x)) , then (1-x^(2))(dy)/(dx)+y is equal to

If ysqrt(1-x^(2)) +xsqrt( 1-y^(2)) =1,then (dy)/(dx)=

"If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).

RESONANCE DPP-JEE MAINS-All Questions
  1. If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is e...

    Text Solution

    |

  2. First, second and sevents terms of an A.P. (all the terms are distinct...

    Text Solution

    |

  3. If xsqrt(1+y)+ysqrt(1+x)=0, then (dy)/(dx) is equal to 1/((1+x)^2) (b...

    Text Solution

    |

  4. There is a certain sequence of positive real numbers. Beginning from t...

    Text Solution

    |

  5. If a1,a2,...an are in H.P then the expression a1a2+a2a3+....+a (n-1)a...

    Text Solution

    |

  6. Comprehension (6 to 8) Given a special sequence, a, b, c, d such that ...

    Text Solution

    |

  7. Jasleen saved Rs 5 in the first week of the year and then increased...

    Text Solution

    |

  8. The coefficient of x^6 in series of e^(2x) is

    Text Solution

    |

  9. Three digit numbers in which the middle one is a perfect square are fo...

    Text Solution

    |

  10. Differentiate the following functions with respect to x f(x)=sqrt(x)+...

    Text Solution

    |

  11. If I1=int(-1)^1(tan^(-1)x+1/x)dx&I2=int(-1)^1(cot^(-1)x+cot^(-1)1/x)dx...

    Text Solution

    |

  12. The number of different seven digit numbers that can be written using ...

    Text Solution

    |

  13. Differentiate the following functions with respect to x:- sec(-1/x)+2...

    Text Solution

    |

  14. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

    Text Solution

    |

  15. Differentiate the following function from first principles: e^(-x)

    Text Solution

    |

  16. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

    Text Solution

    |

  17. Differentiate the following function with respect to x from first prin...

    Text Solution

    |

  18. Ten IIT students and 2 DCE students sit in a row. The number of ways i...

    Text Solution

    |

  19. The function u=e^x sinx , v=e^x cosx satisfy the equation (a) v (du...

    Text Solution

    |

  20. Number of ways in which 7 people can occupy six seats, 3 seats on each...

    Text Solution

    |