Home
Class 12
MATHS
The set of values of 'a' for which (13 ...

The set of values of 'a' for which ` (13 x-1 ) ^(2) + (13y -2) ^(2) =a( 5x+ 12y -1)^(2) ` represents an ellipse if

A

` 1 lt a lt 2 `

B

` 2 lt a lt 3 `

C

` 0 lt alt 1 `

D

` 3 lt a lt 4 `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

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

Find the value of lambda for which the equation lambdax^(2) - 10xy + 12y ^(2)+5x – 16y - 3 = 0 represents a pair of striaght lines.

Add 9x^(2) + 13xy + y^(2) and 6y^(2) - 2xy + 21x^(2)

If the equation (x^(2))/(9-k)+(y^(2))/(5-k)=1 represents an ellipse then

Find the length of the tangent form (1,3) to the circle x^(2) + y^(2) - 2x + 4 y - 11 = 0 .

AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. The total number of real tangents that can be drawn to the ellipse 3x^...

    Text Solution

    |

  2. A tangent is drawn to the ellipse (x^(2))/( 27 ) +y^(2) =1 at the poi...

    Text Solution

    |

  3. The set of values of 'a' for which (13 x-1 ) ^(2) + (13y -2) ^(2) =a...

    Text Solution

    |

  4. A, A^(1) are the vertices , S, S^(1) are the foci of an ellipse . T...

    Text Solution

    |

  5. The point P( (pi )/(4)) lie on the ellipse (x^(2))/( 4) +( y^(2))/(2...

    Text Solution

    |

  6. P is a point on the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =1 with ...

    Text Solution

    |

  7. The normal at a poitn P( theta) on the ellipse 5x^(2) +14y^(2) =70 ...

    Text Solution

    |

  8. The major axis of an ellipse is y =x and one vertex is at origin , the...

    Text Solution

    |

  9. In a model. It is shown that an arch of abridge is semi-elliptical wit...

    Text Solution

    |

  10. A bridge is in the shape of a semi ellipse . If it is 400 m long and h...

    Text Solution

    |

  11. (2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse...

    Text Solution

    |

  12. A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2...

    Text Solution

    |

  13. The equation of common tangents to the ellipse x^(2) +2y^(2) =1 and...

    Text Solution

    |

  14. Let PSP ^(1) is a focal chord of the ellipse 4x^(2) +9y^(2) =36 and...

    Text Solution

    |

  15. The locus of the mid points of the normal chords of ( x^(2) ) /(a^(2))...

    Text Solution

    |

  16. Tangents are drawn through the point (4, sqrt3) to the ellipse (x^(2...

    Text Solution

    |

  17. The locus of the foot of the perpendicular drawn from the centre of th...

    Text Solution

    |

  18. The locus of the mid points of parallel chords of an ellipse is a strr...

    Text Solution

    |

  19. If the locus of the mid points of the chords of the ellipse (x^(2))/(a...

    Text Solution

    |

  20. A point moves such that the distance from the point (2,0) is always 1...

    Text Solution

    |