Home
Class 12
MATHS
The locus of points whose polars with re...

The locus of points whose polars with respect to the ellipse `x^(2)/a^(2) + y^(2)/b^(2) = 1` are at a distance d from the centre of the ellipse, is

A

parabola

B

ellipse

C

hyperbola

D

circle

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE MAIN ARCHIVE|15 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|178 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The eccentric angle of a point on the ellipse x^(2)/6 + y^(2)/2 = 1 whose distance from the centre of the ellipse is 2, is

The locus of the poles of tangents to the auxiliary circle with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

Eccentric angle of a point on the ellipse x^(2)/4+y^(2)/3=1 at a distance 2 units from the centre of ellipse is:

The distance of the point 'theta' on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 from a focus, is

Find the eccentric angle of a point on the ellipse (x^2)/6+(y^2)/2=1 whose distance from the center of the ellipse is sqrt(5)

Find the eccentric angle of a point on the ellipse (x^2)/6+(y^2)/2=1 whose distance from the center of the ellipse is sqrt(5)

The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^2=1

The locus of mid point of tangent intercepted between area of ellipse x^2/a^2 +y^2/b^2 = 1 is

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 2
  1. The locus of the mid-points of chords of ellipse, the tangents at the ...

    Text Solution

    |

  2. If a variable straight line x cos alpha+y sin alpha=p which is a chord...

    Text Solution

    |

  3. The locus of points whose polars with respect to the ellipse x^(2)/a^(...

    Text Solution

    |

  4. On a frictionless horizontal surface , assumed to be the x-y plane ,...

    Text Solution

    |

  5. The locus of the poles of the tangents to the ellipse (x^2)/(a^2)+(y^2...

    Text Solution

    |

  6. A varaibla point P on a given ellipse of eccentricity e is jointed to ...

    Text Solution

    |

  7. The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y...

    Text Solution

    |

  8. The locus of poles of tangents to the ellipse (x^(2))/(a^(2))+(y...

    Text Solution

    |

  9. Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (y^(2))/(4) =1 and L : y...

    Text Solution

    |

  10. Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (y^(2))/(4) =1 and L : y...

    Text Solution

    |

  11. Let C : x^(2) + y^(2) = 9, E : (x^(2))/(9) + (y^(2))/(4) =1 and L : y...

    Text Solution

    |

  12. PA and PB are tangents drawn from a point P to the ellipse (x^2)/(a^2)...

    Text Solution

    |

  13. Prove that if any tangent to the ellipse is cut by the tangents at the...

    Text Solution

    |

  14. If the polar with respect to y^2 = 4ax touches the ellipse x^2/alpha^2...

    Text Solution

    |

  15. The locus of a point from which the two tangents to the ellipse are in...

    Text Solution

    |

  16. The normal at a variable point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2...

    Text Solution

    |

  17. If the tangent drawn at point (t^2,2t) on the parabola y^2=4x is the s...

    Text Solution

    |

  18. If PSQ is a focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/...

    Text Solution

    |

  19. For the hyperbola (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, the normal at poi...

    Text Solution

    |

  20. CP and CD are conjugate diameters of ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

    Text Solution

    |