Home
Class 12
MATHS
Consider the equation (x^2)/(a^2+lambda)...

Consider the equation `(x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1,` where a and b are specified constants and `lambda` is an arbitrary parameter. Find a differential equation satisfied by it.

A

`(dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))`

B

`(dy)/(dx)=-sqrt((1-y^(2))/(1-x^(2)))`

C

`(dy)/(dx)=sqrt((1-x^(2))/(1-y^(2)))`

D

`(dy)/(dx)=-sqrt((1-x^(2))/(1-y^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos

Similar Questions

Explore conceptually related problems

The equation (x^2)/(12-lambda)+(y^2)/(8-lambda)=1 represents

The equation (x^(2))/(10-lambda)+(y^(2))/(6-lambda)=1 represents

The equation (x^(2))/(2-lambda)+(y^(2))/(lambda-5)+1=0 represents an elipse,if

If a is arbitrary constant, find the differential equation of x^2+y^2=a^2

71.The equation (x^(2))/(16-lambda)+(y^(2))/(9-lambda)=1 represents a hyperbola When a a

The equation (x^(2))/(9-lambda)+(y^(2))/(4-lambda) =1 represents a hyperbola when a lt lambda lt b then (b-a)=

Prove that the family of curves x^2/(a^2+lambda)+y^2/(b^2+lambda)=1 , where lambda is a parameter, is self orthogonal.

Form the differential equation corresponding to y^(2)=a(b-x)^(2), where a and b are arbitrary constant.

NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. The equation of the ellips is (x^(2))/(36)+(y^(2))/(16)=k. The differe...

    Text Solution

    |

  2. The differential equation satisfied by sqrt(1-x^(2))+sqrt(1-y^(2))=a(x...

    Text Solution

    |

  3. Consider the equation (x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1, where a...

    Text Solution

    |

  4. The differential equation for x^(3)+y^(3)=4ax is

    Text Solution

    |

  5. Form of the differential equation of all family of lines y=mx+(4)/(m) ...

    Text Solution

    |

  6. The differential equation for y^(2)=(x+A)^(3) is

    Text Solution

    |

  7. The differential equation of y = c^(2) + c/x is

    Text Solution

    |

  8. The differential equation, which represents the family of plane curves...

    Text Solution

    |

  9. The differential eqution for (x)/(a)+(y)/(b)=1 is

    Text Solution

    |

  10. From the differential equation by eliminating A and B in Ax^(2)+By^(2...

    Text Solution

    |

  11. The differential equation obtained by eliminating a and b from y = ae^...

    Text Solution

    |

  12. The differential equation of the family of curves y= c(1)e^(x) +c(2)e...

    Text Solution

    |

  13. The differential equation for y=Ae^(3x)+Be^(-3x) is

    Text Solution

    |

  14. The differential equation for y=e^(x)(a+bx) is

    Text Solution

    |

  15. The differential equation for y=ae^(x)+be^(-2x) is

    Text Solution

    |

  16. The differential equation for y=Ae^(3x)+Be^(2x) is

    Text Solution

    |

  17. If y=e^(ax)sinbx, then (d^(2)y)/(dx^(2))-2a(dy)/(dx)+a^(2)y=

    Text Solution

    |

  18. The differential equation satistied by the family of curves y-axcos(1/...

    Text Solution

    |

  19. The differential equation for y=a sin (5x+c) is

    Text Solution

    |

  20. The differential equation for y=c(1)sinx+c(2)cosx is

    Text Solution

    |