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.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|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.

If the normal to the ellipse x^2/25+y^2/1=1 is at a distance p from the origin then the maximum value of p is

P is any point on the auxililary circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and Q is its corresponding point on the ellipse. Find the locus of the point which divides PQ in the ratio of 1:2 .

If P is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1 , S and S ’ are the foci of the ellipse then find SP + S^1P

The line 2x+y=3 intersects the ellipse 4x^(2)+y^(2)=5 at two points. The point of intersection of the tangents to the ellipse at these point is

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

The line y=2t^2 meets the ellipse (x^2)/(9)+(y^2)/(4)=1 in real points if

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

P and Q are corresponding points on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the auxiliary circle respectively . The normal at P to the elliopse meets CQ at R. where C is the centre of the ellipse Prove that CR = a +b

If 3x+4y=12 intersect the ellipse x^2/25+y^2/16=1 at P and Q , then point of intersection of tangents at P and Q.

CENGAGE ENGLISH-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^3)+(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 ...

    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

    |