Home
Class 11
MATHS
P is the point on the ellipse isx^2/16+y...

P is the point on the ellipse is`x^2/16+y^2/9=1 and Q` is the corresponding point on the auxiliary circle of the ellipse. If the line joining the center C to Q meets the normal at P with respect to the given ellipse at K, then find the value of CK.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the normals are parallel to the line 2x-y=1.

Find the points on the ellipse 4x^(2)+9y^(2)=36 at which the tangents are paralle to x-axis.

If C is the center of the ellipse 9x^2+16 y^2=144 and S is a focus, then find the ratio of C S to the semi-major axis.

The co-ordinate of a point on the auxiliary circle of the ellipse x^(2)+2y^(2)=4 corresponding to the point on the ellipse whose eccentric angle is 60^(@) will be

Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).

The point of intersection of the tangents at the point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=a/e (b) x=0 (c) y=0 (d) none of these

Let the foci of the ellipse (x^(2))/(9) + y^(2) = 1 subtend a right angle at a point P . Then the locus of P is _

If the tangent to the ellipse x^2+2y^2=1 at point P(1/(sqrt(2)),1/2) meets the auxiliary circle at point R and Q , then find the points of intersection of tangents to the circle at Q and Rdot

Find the area of the region bounded by the ellipse x^(2)/16+y^(2)/9=1 .

The equation of auxiliary circle of the ellipse 16x^(2)+25y^(2)+32x-100y=284 is

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If omega is one of the angles between the normals to the ellipse (x^...

    Text Solution

    |

  2. If the normal at any point P on the ellipse x^2/a^2+y^2/b^2=1 meets t...

    Text Solution

    |

  3. P is the point on the ellipse isx^2/16+y^2/9=1 and Q is the correspond...

    Text Solution

    |

  4. If the normal at one end of the latus rectum of the ellipse (x^2)/(...

    Text Solution

    |

  5. If the normals to the ellipse x^2/a^2+y^2/b^2= 1 at the points (x1, y...

    Text Solution

    |

  6. Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).

    Text Solution

    |

  7. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

    Text Solution

    |

  8. If any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 intercepts e...

    Text Solution

    |

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

    Text Solution

    |

  10. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |

  11. If F1 and F2 are the feet of the perpendiculars from the foci S1a ...

    Text Solution

    |

  12. If the tangent at any point of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 m...

    Text Solution

    |

  13. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

    Text Solution

    |

  14. A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)=...

    Text Solution

    |

  15. If the tangent to the ellipse x^2+2y^2=1 at point P(1/(sqrt(2)),1/2) m...

    Text Solution

    |

  16. Chords of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 are drawn through the...

    Text Solution

    |

  17. Find the locus of the middle points of all chords of (x^2)/4+(y^2)/...

    Text Solution

    |

  18. Tangents P Qa n dP R are drawn at the extremities of the chord of th...

    Text Solution

    |

  19. If the chords of contact of tangents from two poinst (x1, y1) and ...

    Text Solution

    |

  20. From the point A(4,3), tangent are drawn to the ellipse (x^2)/(16)...

    Text Solution

    |