Home
Class 11
MATHS
The locus of the point which divides the...

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

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

The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

The locus of a point which divides the join of A(-1,1) and a variable point P on the circle x^(2)+y^(2)=4 in the ratio 3:2 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

The locus of the point of intersection of two prependicular tangents of the ellipse x^(2)/9+y^(2)/4=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 normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

Find the locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 form a triangle of constant area with the coordinate axes.

Find the co-ordinates of the point which divides the join of the points (-1,2,3) and (4,-2,5) in the ratio 1 : 2 externally.

The line x = at^(2) meets the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 in the real points iff

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...

    Text Solution

    |

  2. Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 whic...

    Text Solution

    |

  3. The locus of the point which divides the double ordinates of the ell...

    Text Solution

    |

  4. Find the locus of the middle points of chord of an ellipse x^2/a^2 + ...

    Text Solution

    |

  5. Find the point on the hyperbola x^2-9y^2=9 where the line 5x+12 y=9 to...

    Text Solution

    |

  6. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

    Text Solution

    |

  7. From any point P lying in the first quadrant on the ellipse (x^2)/(25)...

    Text Solution

    |

  8. If any line perpendicular to the transverse axis cuts the hyperbola (x...

    Text Solution

    |

  9. If the focal distance of an end of the minor axis of an ellipse (ref...

    Text Solution

    |

  10. Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...

    Text Solution

    |

  11. A normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

    Text Solution

    |

  12. Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  13. The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and...

    Text Solution

    |

  14. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

    Text Solution

    |

  15. The coordinates of the vertices Ba n dC of a triangle A B C are (2,...

    Text Solution

    |

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

    Text Solution

    |

  17. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  18. Find the condition on a and b for which two distinct chords of the hyp...

    Text Solution

    |

  19. The point of intersection of the tangents at the point P on the ellip...

    Text Solution

    |

  20. Find the equation of the ellipse (referred to its axes as the axes o...

    Text Solution

    |