Home
Class 11
MATHS
P and Q are two points on ellipse (x^(2...

P and Q are two points on ellipse ` (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1` such
the PQ passes through centre of ellipse . If R is any point on the ellipse , other then P and Q , then product of slopes of chords PR and QR is .

A

`(a^(2))/(b^(2))`

B

`(b^(2))/(a^(2))`

C

`-(a^(2))/(b^(2))`

D

`- (b^(2))/(a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

P and Q are two points on the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) =1 whose eccentric angles are differ by 90^(@) , then

Point P, Q and R on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 are such that line PQ passes through the centre of the hyperbola . Then product of slopes of PR and QR is

Number of points on the ellipse x^2/a^2+y^2/b^2=1 at which the normal to the ellipse passes through at least one of the foci of the ellipse is

If P(theta),Q(theta+(pi)/(2)) are two points on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and a is the angle between normals at P and Q, then

AB and CD are two equal and parallel chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 . Tangents to the ellipse at A and B intersect at P and at C and D at Q. the line PQ

The locus of the mid-points of the chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which pass through the positive end of major axis,is.

The tangent at point P on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 cuts the minor axis in Q and PR is drawn perpendicular to the minor axis. If C is the centre of the ellipse, then CQ*CR =

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. S and T are foci of an ellipse and B is an end of the minor a...

    Text Solution

    |

  2. If the lines joining the foci of an ellipse to an end of its minor axi...

    Text Solution

    |

  3. P and Q are two points on ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =...

    Text Solution

    |

  4. The eccentricity of the ellipse which meets the straight line x/7+y/2 ...

    Text Solution

    |

  5. Find the area of the greatest rectangle that can be inscribed in an el...

    Text Solution

    |

  6. An arc of a bridge is semi-elliptical with the major axis horizonta...

    Text Solution

    |

  7. The equation of the ellipse whose centre is at origin and which passes...

    Text Solution

    |

  8. If the foci and vetrices of an ellipse be (pm 1,0) and (pm 2,0), then ...

    Text Solution

    |

  9. The equation of the directrice of the ellipse 16x ^(2) + 25 y ^(2)= 40...

    Text Solution

    |

  10. The latus rectum of an ellipse is 10 and the minor axis Is equal to th...

    Text Solution

    |

  11. Filnd the distance between the directrices the ellipse (x^2)/(36)+(...

    Text Solution

    |

  12. The distnce between the foci of the ellipse 3x ^(2) + 4y ^(2) =48 is

    Text Solution

    |

  13. Foci of an ellipse are (pm 5, 0) and one of its directrices is 5x =...

    Text Solution

    |

  14. If the eccentricity of an ellipse be (1)/(sqrt2), then its latus rectu...

    Text Solution

    |

  15. For each point (a,y) on an ellipse, the sum of the distances from (x,y...

    Text Solution

    |

  16. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

  17. If one vertex of an ellipse is (0,7) and the corresponding directrix i...

    Text Solution

    |

  18. Equation of ellipse having letus rectum 8 and eccentricity (1)/(sqrt(2...

    Text Solution

    |

  19. Ellipse x^(2) + 4y^(2) = 4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  20. Equation (x^(2))/(r-2) + (y^(2))/(5-r) = 1 represents an ellipse if

    Text Solution

    |