Home
Class 11
MATHS
Any ordinate M P of the ellipse (x^2)/(2...

Any ordinate `M P` of the ellipse `(x^2)/(25)+(y^2)/9=1` meets the auxiliary circle at `Qdot` Then locus of the point of intersection of normals at `Pa n dQ` to the respective curves is `x^2+y^2=8` (b) `x^2+y^2=34` `x^2+y^2=64` (d) `x^2+y^2=15`

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

Any ordinate MP of an ellipse meets the auxillary circle in Q. Ptove that the locus of the point of intersection of the normals at P and Q is the circle x^(2)+y^(2)=(a+b)^(2) .

The locus of the point of intersection of the perpendicular tangents to the circle x^(2)+y^(2)=a^(2), x^(2)+y^(2)=b" is "

The locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) , is

Locus of point of intersection of perpendicular tangents to the circle x^(2)+y^(2)-4x-6y-1=0 is

Locus of the point of intersection of perpendicular tangents drawn one of each of the circles x^(2)+y^(2)=8 and x^(2)+y^(2)=12 is

Prove that the locus of the point of intersection of the tangents at the ends of the normal chords of the hyperbola x^2-y^2=a^2 is a^2(y^2-x^2)=4x^2y^2dot

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

The locus of the centre of the circle passing through the intersection of the circles x^2+y^2= 1 and x^2 + y^2-2x+y=0 is

Prove that the locus of the point of intersection of tangents at the ends of normal chords of hyperbola x^(2)-y^(2)=a^(2)" is "a^(2) (y^(2)-x^2)=4x^2y^(2)

Find the angle of intersection of curve x^2+4y^2=8 and x^2-2y^2=2

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The normal at a variable point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2...

    Text Solution

    |

  2. If the distance between the foci and the distance between the two d...

    Text Solution

    |

  3. Any ordinate M P of the ellipse (x^2)/(25)+(y^2)/9=1 meets the auxilia...

    Text Solution

    |

  4. 1. If the distance between two parallel tangents drawn to the hyperbol...

    Text Solution

    |

  5. The number of distinct normal lines that can be drawn to the ellipse (...

    Text Solution

    |

  6. A normal is drawn to the hyperbolas (y-x m)(m y+x)=a^2 and (m^2-1)(y^2...

    Text Solution

    |

  7. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

    Text Solution

    |

  8. The equation of the transvers axis of the hyperbola (x-3)^2+(y+1)^2=(4...

    Text Solution

    |

  9. Find the values of a for which three distinct chords drawn from (a ,0...

    Text Solution

    |

  10. If a variable line has its intercepts on the coordinate axes ea n de^(...

    Text Solution

    |

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

    Text Solution

    |

  12. A straight line has its extremities on two fixed straight lines and ...

    Text Solution

    |

  13. A circle has the same center as an ellipse and passes through the foci...

    Text Solution

    |

  14. The length of the transverse axis of the rectangular hyperbola x y=18 ...

    Text Solution

    |

  15. If P is any point on ellipse with foci S1 & S2 and eccentricity is 1/...

    Text Solution

    |

  16. The locus of the point which is such that the chord of contact of t...

    Text Solution

    |

  17. Find the range of eccentricity of the ellipse x^2/a^2+y^2/b^2=1, (wher...

    Text Solution

    |

  18. The angle between the lines joining origin to the points of intersect...

    Text Solution

    |

  19. the equation of the chord of contact of the pair of tangents drawn to ...

    Text Solution

    |

  20. The equation to the chord joining two points (x1,y1) and (x2,y2) on th...

    Text Solution

    |