Home
Class 12
MATHS
The equation (x^(2))/(2-lambda)+(y^(2))/...

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

A

`2ltlambdalt5`

B

`2gtlambdagt5`

C

`lambdagt5`

D

`lambda lt2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2007

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos
  • KARNATAKA CET 2009

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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

The equation (x^(2))/(1-r)+(y^(2))/(r-3)+1=0 represents an ellipse if :

The equation (x^(2))/(10-a)+(y^(2))/(4-a)=1 represents an ellipse if

Show that the equation (10x-5)^(2)+(10y-5)^(2)=(3x+4y-1)^(2) represents an ellipse, find the eccentricity of the ellipse.

The eqaution x^(2)+(lambda+mu)xy+lambdamuy^(2)+x+muy =0 represent two parallel straight lines if

If the roots of the equation (x^(2) -bx)/(ax - c) = (lambda - 1)/(lambda + 1) are such that alpha + beta =0 , then the value of lambda is :

If the roots of the equation (x^(2) -bx)/(ax -c) = (lambda - 1)/(lambda + 1) are shuch that alpha + beta = 0, then value of lambda is :

The differential equation satisfying the curve (x^(2))/(a^(2)+lambda)+(y^(2))/(b^(2)+lambda)=1 where lambda be arbitary uknown, is (a) (x+yy_(1))(xy_(1)-y)=(a^(2)-b^(2))y_(1) (b) (x+yy_(1))(xy_(1)-y)=y_(1) ( c ) (x-yy_(1))(xy_(1)+y)(a^(2)-b^(2))y_(1) (d) None of these

The equation (x-x_(1))(x-x_(2))+(y-y_(1))(y-y_(2))=0 represents a circle whose centre is

If the equation lambda x^(2)-5 x y+6 y^(2)+x-3 y=0 represents a pair of lines, then their point of intersection is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2008-MATHEMATICS
  1. The locus of the midpoints of the line joining the focus and any point...

    Text Solution

    |

  2. The tangents drawn at the extremeties of a focal chord of the parabola...

    Text Solution

    |

  3. The equation (x^(2))/(2-lambda)+(y^(2))/(lambda-5)-1=0 represents an e...

    Text Solution

    |

  4. The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1...

    Text Solution

    |

  5. The converse of the contrapositive of the conditional pto~q is

    Text Solution

    |

  6. The perimeter of a certain sector of a circle is equal to the length o...

    Text Solution

    |

  7. The value of tan67(1^(@))/(2)+cot67(1^(@))/(2) is

    Text Solution

    |

  8. If e(1)ande(2) are the ecentricities of a hyperbola 3x^(2)-2y^(2)=25 a...

    Text Solution

    |

  9. If p and q are prime numbers satisfying the condution p^(2)-2q^(2)=1, ...

    Text Solution

    |

  10. If A(adiA)=5I where I is the identity matrix of order 3 , then |adjA| ...

    Text Solution

    |

  11. The number of solutions for the equation sin2x+cos 4x=2 is

    Text Solution

    |

  12. inte^(x)*x^(5)dx is

    Text Solution

    |

  13. The maximum area of a rectangle that can be inscribeb in a circle of r...

    Text Solution

    |

  14. If Z is a complex number such that Z=-overlineZ, then

    Text Solution

    |

  15. The value of sum(k=1)^(6)[" sin"(2Kpi)/(7)- i " cos"(2Kpi)/(7)] is

    Text Solution

    |

  16. underset(x to oo)limsin((2)/(x)) is equal to

    Text Solution

    |

  17. A stone is thrown vertically upwards and the height x ft, reached by ...

    Text Solution

    |

  18. The genergal solution of |sinx|=cosx is (when n inZ) given by

    Text Solution

    |

  19. The real root of the equation x^(3)-6x+9=0 is

    Text Solution

    |

  20. The digit in the unit's place of 5^(834) is

    Text Solution

    |