Home
Class 12
MATHS
The locus of the foot of the perpendicul...

The locus of the foot of the perpendicular from the foci an any tangent to the ellipse `x^(2)/a^(2) + y^(2)/b^(2) = 1`, is

A

`x^2+y^2=a^2+b^2`

B

`x^2+y^2=a^2`

C

`x^2+y^2=b^2`

D

`x^2+y^2 =2a^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Exercise (Level 2 Single Correct)|19 Videos
  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years AIEEE/JEE Main Papers|24 Videos
  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Exercise (Single Correct)|15 Videos
  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos
  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

Similar Questions

Explore conceptually related problems

If the loucus of the feet of perpendicular from the foci on any tangent to an ellipse (x^(2))/(4) + (y^(2))/(2) =1 is x^(2) + y^(2) =k , then the value of k is _______.

The locus of the foot of the perpendicular drawn from the centre on any tangent to the ellipse x^2/25+y^2/16=1 is:

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

If the locus of the foot of the perpendicular drawn from centre upon any tangent to the ellipse (x^(2))/(40)+(y^(2))/(10)=1 is (x^(2)+y^(2))^(2)=ax^(2)+by^(2) , then (a-b) is equal to

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

The product of perpendiculars from the focii upon any tangent of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is b^(2)

The product of the perpendiculars from the foci on any tangent to the hyperbol (x^(2))/(64)-(y^(2))/(9)=1 is

MCGROW HILL PUBLICATION-ELLIPSE-Exercise (Level 1 Single Correct)
  1. In an ellipse, if the lines joining focus to the extremities of the mi...

    Text Solution

    |

  2. An equilateral triangle is inscribed in the ellipse x^2+3y^2=3 such t...

    Text Solution

    |

  3. If the equation x^2/(10-2a)+y^2/(4-2a)=1 represents an ellipse , then ...

    Text Solution

    |

  4. The curve represented by x = 3 (cos t + sin t), y = 4 (cos t- sin t) i...

    Text Solution

    |

  5. The eccentricity of an ellipse, with centre at the origin is 2/3. If o...

    Text Solution

    |

  6. The locus of the foot of the perpendicular from the foci an any tangen...

    Text Solution

    |

  7. If the ellipse x^2/a^2+y^2/b^2=1 and the circle x^2+y^2=r^2 where bltr...

    Text Solution

    |

  8. The product of the perpendiculars from the foci of the ellipse x^2/14...

    Text Solution

    |

  9. The locus of the foot of the perpendicular drawn from the centre on an...

    Text Solution

    |

  10. If the normal at P(2(3sqrt(3))/2) meets the major axis of ellipse (...

    Text Solution

    |

  11. Chord of the ellipse x^2/25+y^2/16=1 whose middle point is (1/2, 2/5) ...

    Text Solution

    |

  12. If one extremity of the minor axis of the ellipse x^2/a^2+y^2/b^2=1 a...

    Text Solution

    |

  13. The length of the major axis of the ellipse (5x-10)^2 +(5y+13)^2 = (3x...

    Text Solution

    |

  14. A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...

    Text Solution

    |

  15. Let P be any point on a directrix of an ellipse of eccentricity e, S b...

    Text Solution

    |

  16. If a tangent of slope 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is no...

    Text Solution

    |

  17. If a line 3 px + 2ysqrt(1-p^2) =1 touches a fixed ellipse E for all p ...

    Text Solution

    |

  18. If a and b are the natural numbers such that a + b = ab, then equation...

    Text Solution

    |

  19. If x^2/(sec^2 theta) +y^2/(tan^2 theta)=1 represents an ellipse with e...

    Text Solution

    |

  20. 3x^2+4y^2-6x+8y+k=0 represents an ellipse with eccentricity 1/2,

    Text Solution

    |