Home
Class 12
MATHS
The locus of the point of intersection o...

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`, is

Promotional Banner

Topper's Solved these Questions

  • Ellipse and Hyberbola

    A DAS GUPTA|Exercise EXERCISE|65 Videos

  • Elementary Probability

    A DAS GUPTA|Exercise Exercise|137 Videos

  • Equations, Inequation and Expressions

    A DAS GUPTA|Exercise Exercise|301 Videos

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of the tangents at the ends of normal chord of the hyperbola x^(2)-y^(2)=a^(2) is

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(b

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^(2)y^(2)

The locus of the point of intersection of tangents drawn at the extremities of normal chords to hyperbola xy = c^(2)

Find the locus of point of intersection of tangents at the extremities of normal chords of the elipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Locus of the intersection of the tangents at the ends of the normal chords of the parabola y^(2) = 4ax is

Find the locus of the mid-points of normal chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Locus of the point of intersection of the tangents at the points with eccentric angles phi and (pi)/(2) on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is

The locus of the point of intersection of tangents at the extremities of the chords of hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 which are tangents to the circle drawn on the line joining the foci as diameter is

A DAS GUPTA-Ellipse and Hyberbola-EXERCISE
  1. A circle cuts two perpendicular lines so that each intercept is of giv...

    Text Solution

    |

  2. A circle with centre (3alpha, 3beta) and of variable radius cuts the ...

    Text Solution

    |

  3. The locus of the point of intersection of the tangents at the end-poin...

    Text Solution

    |

  4. Find the locus of the-mid points of the chords of the circle x^2 + y^2...

    Text Solution

    |

  5. If alpha and beta be the angles subtended by the major axis to an elli...

    Text Solution

    |

  6. The equation x^2-3xy+y^2+10x-10y+21=0represents a having its centre at...

    Text Solution

    |

  7. The eccentricity of a rectangular hyperbola, is

    Text Solution

    |

  8. Equation of the ellipse whose focus is (6,7) directrix is x + y + 2 = ...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the equation of an ellipse hose axes lie along the coordinate ...

    Text Solution

    |

  11. if in a hyperbola the eccentricity is sqrt3 and the distance between t...

    Text Solution

    |

  12. Show that the equation x^2-2y^2-2x+8y-1=0 represents a hyperbola. Find...

    Text Solution

    |

  13. Find the equations of normal to the parabola y^2=4a x at the ends of t...

    Text Solution

    |

  14. Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 wit...

    Text Solution

    |

  15. The number of maximum normals that can be drawn from any point to an e...

    Text Solution

    |

  16. If a tangent to the ellipse x^2/a^2+y^2/b^2=1, whose centre is C, me...

    Text Solution

    |

  17. Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...

    Text Solution

    |

  18. If the line lx+my+n=0 touches the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  19. Show that 3x^(2) - 3y^(2) - 18x + 12y + 2 = 0 represents a rectangular...

    Text Solution

    |

  20. The point P on the ellipse 4x^2+9y^2=36 is such that the are of the P...

    Text Solution

    |