Home
Class 12
MATHS
If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), t...

If `sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y)`, then `(dy)/(dx)` equals

A

`sqrt((1-x^(2))/(1-y^(-2))`

B

`sqrt((1-x^(2))/(1-x^(2))`

C

`sqrt((1-x^(2))/(1-y^(2))`

D

`sqrt((1-y^(2))/(1-x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 2 (LEVEL-II)|13 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 3|25 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 1|27 Videos
  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

Similar Questions

Explore conceptually related problems

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

If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), prove that (dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), prove that (dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

If sqrt(1-x^(2)) + sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx) = sqrt((1-y^(2))/(1-x^(2)))

If (x+sqrt(1+x^(2))) (y+sqrt(1+y^(2))) =1 then (dy)/(dx) may be equals to

sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), provethat (dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

If y=sqrt((1-x)/(1+x)), then (dy)/(dx) equals-

MOTION-METHOD OF DIFFERENTIATION-EXERCISE - 2 (LEVEL-I)
  1. If g is the inverse of f and f'(x)=1/(2+x^n), then g'(x) is equal to

    Text Solution

    |

  2. Derivative of log(log|sinx|) with respect to x at x=(pi)/(6) is

    Text Solution

    |

  3. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), then (dy)/(dx) equals

    Text Solution

    |

  4. If x^(3)cos(xy) + y^(3)sin(xy) + 1 = 0 "then" (dy)/(dx) equals

    Text Solution

    |

  5. If y=2^(log)2x^((2x))+(tan(pix)/4)^(4/(pix)) then ((dy)/(dx)])(x=1) is...

    Text Solution

    |

  6. If x^m y^n=(x+y)^(m+n), then (dy)/(dx) is (x+y)/(x y) (b) x y (c) x/...

    Text Solution

    |

  7. d//dx[tan^(-1)((sqrt(x^(2)+a^(2))+x)/(sqrt(x^(2)+a^(2))-x))^(1//2)]

    Text Solution

    |

  8. d//dx[sin^(2)cot^(-1)""(1)/(sqrt((1+x)/(1-x)))] , is equal to -

    Text Solution

    |

  9. If x=e^(sin^(- 1^t), y=tan^(- 1)t, then (dy)/(dx)

    Text Solution

    |

  10. Find the derivative of f(tanx)wdotrdottg(secx)a tx=pi/4, where f^(prim...

    Text Solution

    |

  11. The derivative of the function, f(x)=cos^(-1){(1)/(sqrt(13))(2cosx-3...

    Text Solution

    |

  12. If y=sqrt(x+sqrt(y+sqrt(x+......,)))"then"(dy)/(dx)=

    Text Solution

    |

  13. If f(x) = f(x) + f'(x) + f'''(x) ……..oo also f(0) = 1 and f(x) is a di...

    Text Solution

    |

  14. If y = a cos (ln x)+ b sin (ln x), then x^(2)(d^(2)y)/(dx^(2))+x(dy)/...

    Text Solution

    |

  15. If y = sin mx then the value of |[y,y1,y2],[y3,y4,y5],[y6,y5,y7]| wher...

    Text Solution

    |

  16. If x=(1+t)/(t^3),y=3/(2t^2)+2/t ,t h e nx((dy)/(dx))^3-(dy)/(dx) is eq...

    Text Solution

    |

  17. If sinx =(2t)/(1+t^2) and cot y =(1-t^2)/(2t) then the value of (d^2 x...

    Text Solution

    |