Home
Class 12
MATHS
Perpendiculars are drawn from the points...

Perpendiculars are drawn from the points `(0, pm ae)` on any tangent to `x^(2)//a^(2)+y^(2)//b^(2)=1`. Then the sum of their squares is

A

`2b^(2)`

B

`2a^(2)`

C

`b^(2)`

D

`a^(2)`

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 product of the perpendiculars from the foci on any tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 is

The product of the perpendicular from the foci on any tangent to the hyperbola x^(2) //a^(2) -y^(2) //b^(2) =1 is

The locus of the foot of the perpendicular drawn from the centre of the ellipse (x^(2))/( a^(2)) +(y^(2))/( b^(2)) =1 to any of its tangents 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 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

The locus of the feet of the perpendicular drawn from the point (a,0) on tangent to the circle x^(2)+y^(2)=a^(2)" is"

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The product of the perpendiculars from the foci on any tangent to the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The area (in sq . Unit ) of the quadrilateral formed by the tangents a...

    Text Solution

    |

  11. C is the centre of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 and...

    Text Solution

    |

  12. If the normal at the end of latus rectum of an ellipse x^(2)//a^(2)+y^...

    Text Solution

    |

  13. The slope of a common tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)...

    Text Solution

    |

  14. The parametric representation (2+t^(2),2t+1) represents

    Text Solution

    |

  15. The points on the ellipse 2x^(2)+3y^(2)=6 whose eccentric angles diffe...

    Text Solution

    |

  16. The equation of the tangent at a point theta=3pi//4 to the ellipse x^(...

    Text Solution

    |

  17. The equation of the normal to the ellipse x^(2)//16+y^(2)//9=1 at the...

    Text Solution

    |

  18. If x/a+y/b=sqrt(2) touches the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1, then...

    Text Solution

    |

  19. The distance of a point on the ellipse x^(2)//6+y^(2)//2=1 from the ce...

    Text Solution

    |

  20. The eccentric angles of the extremities of latusrecta of the ellipse x...

    Text Solution

    |