Home
Class 12
MATHS
If any tangent to the ellipse x^(2)//a^(...

If any tangent to the ellipse `x^(2)//a^(2)+y^(2)//b^(2)=1` intercepts equal length l on the axes then l =

A

`a^(2)+b^(2)`

B

`sqrt(a^(2)+b^(2))`

C

`(a^(2)+b^(2))^(2)`

D

none

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|24 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|2 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 Videos

  • EAMCET - 2016 TS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

Similar Questions

Explore conceptually related problems

The equation of the locus of the middle point of the portion of a tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 included between the axes is

The locus of the mid point of the portion of a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the coordinate axes is

The sum of the squares of the perpendiculars on any tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 from two points on the minor axis each at a distance sqrt(a^(2)-b^(2)) from the centre is

Prove that the product of the perpendicular from the foci on any tangent to the ellips (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 is equal to b^(2)

The line xcosalpha+ysinalpha=p is a tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 . The point of contact is

The slope of a common tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 and a concentric circle of radius r is

The minimum area of triangle formed by the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with the coordinate axes is

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The product of the slopes of the tangents to the ellipse 2x^(2)+3y^(2)...

    Text Solution

    |

  2. The total number of real tangents that can be drawn to the ellipse 3x^...

    Text Solution

    |

  3. If any tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 intercepts e...

    Text Solution

    |

  4. The equation to the director circle of the ellipse 2x^(2)+3y^(2)=6 is

    Text Solution

    |

  5. The equation to the auxiliary circle of x^(2)/12+y^(2)/18=1 is

    Text Solution

    |

  6. The equation to the circle on S^(')S as diameter where S and S^(') are...

    Text Solution

    |

  7. The radius of the circle passing through the foci of the ellipse x^(2)...

    Text Solution

    |

  8. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

    Text Solution

    |

  9. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  10. The locus of the point of intersection of two tangents to the ellipse ...

    Text Solution

    |

  11. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

    Text Solution

    |

  12. The product of the perpendiculars from the foci on any tangent to the...

    Text Solution

    |

  13. If F(1), F(2), F(3) be the feet of the perpendicular from the foci S(1...

    Text Solution

    |

  14. Perpendiculars are drawn from the points (0, pm ae) on any tangent to ...

    Text Solution

    |

  15. The sum of the squares of the perpendiculars on any tangent to the ell...

    Text Solution

    |

  16. Let d and d^(') be the perpendicular distances from the foci of an ell...

    Text Solution

    |

  17. Tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 make angles theta(...

    Text Solution

    |

  18. The tangent to x^(2)//a^(2)+y^(2)//b^(2)=1 meets the major and minor a...

    Text Solution

    |

  19. S (3, 4) and S^(') (9, 12) are the focii of an ellipse and the foot of...

    Text Solution

    |

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

    Text Solution

    |