Home
Class 12
MATHS
The locus of a point whose polar with re...

The locus of a point whose polar with respect to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` touches the parabola `y^2 = 4kx` is:

A

`x^(2)/a^(2) + y^(2)/b^(2) = 1/d^(2)`

B

`x^(2)/a^(4) + y^(2)/b^(4) = 1/d^(2)`

C

`x^(2)/a^(2) + y^(2)/b^(2) = 1/d^(4)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|80 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

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

The locus of pole of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with respect to the parabola y^(2)=4ax, is

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 locus of the poles of the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 w.r.t. the circle x^2 + y^2 = a^2 is: (a) parabola (b) ellipse (c) hyperbola (d) circle

Find the maximum area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which touches the line y=3x+2.

The locus of the point which divides the double ordinates of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in the ratio 1:2 internally is

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

The locus of the point of intersection of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Chapter Test
  1. if vertices of an ellipse are (-4,1),(6,1) and x-2y=2 is focal chord t...

    Text Solution

    |

  2. If (-4, 3) and (8, 3) are the vertices of an ellipse whose eccentricit...

    Text Solution

    |

  3. If the chord joining points P(alpha) and Q(beta) on the ellipse ((x^...

    Text Solution

    |

  4. If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

    Text Solution

    |

  5. The tangent at any point P on the ellipse meets the tangents at the ve...

    Text Solution

    |

  6. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

    Text Solution

    |

  7. The equation of the locus of the poles of normal chords of the ellipse...

    Text Solution

    |

  8. The locus of mid-points of focal chords of the ellipse (x^2)/(a^2)+(y^...

    Text Solution

    |

  9. The locus of a point whose polar with respect to the ellipse (x^2)/(a^...

    Text Solution

    |

  10. if the chord of contact of tangents from a point P to the hyperbola x...

    Text Solution

    |

  11. The locus of the poles of tangents to the auxiliary circle with respec...

    Text Solution

    |

  12. The locus of the poles of tangents to the director circle of the ellip...

    Text Solution

    |

  13. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

    Text Solution

    |

  14. If the tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 makes inte...

    Text Solution

    |

  15. If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...

    Text Solution

    |

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

    Text Solution

    |

  17. If the normals at P(theta) and Q(pi/2+theta) to the ellipse (x^2)/(a^2...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. The tangent at point P on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 cu...

    Text Solution

    |

  20. If the lengths of major and semi-minor axes of an ellipse are 4 and sq...

    Text Solution

    |