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

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

A

`y_4-x^4=4a^2x^2y^2`

B

`y_2-x^2=4a^2x^2y^2`

C

`a_2(y^2-x^2)=4x^2y^2`

D

`y_2+x^2=4a^2x^2y^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

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

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)

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

The locus of the point of intersection of the tangents at the extermities of a chord of the circle x^2+y^2=b^2 which touches the circle x^2+y^2-2by=0 passes through the point

The locus of the point of intersection of tangents drawn at the extremities of a normal chord to the parabola y^2=4ax is the curve

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 < a) (a) is a an circle (b) ellipse (c) hyperbola (d) pair of straight lines

The locus of the point of intersection of the tangents at the extremities of a chord of the circle x^(2)+y^(2)=r^(2) which touches the circle x^(2)+y^(2)+2rx=0 is

Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola y^2=4a xdot

The locus of the point of intersection of tangents drawn at the extremities of a focal chord to the parabola y^2=4ax is the curve

The locus of the point of intersection of the tangents at the extremities of the chords of the ellipse x^2+2y^2=6 which touch the ellipse x^2+4y^2=4, is x^2+y^2=4 (b) x^2+y^2=6 x^2+y^2=9 (d) None of these

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. If the tangents drawn from a point on the hyperbola x^(2)-y^(2)=a^(2)-...

    Text Solution

    |

  2. The product of perpendicular drawn from any points on a hyperbola (x^2...

    Text Solution

    |

  3. The locus of the point of intersection of the tangents at the ends of ...

    Text Solution

    |

  4. If the curves (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 (agtb) and x^(2)-y(2)=...

    Text Solution

    |

  5. A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on th...

    Text Solution

    |

  6. Which of the following equations in parametric form can represent a hy...

    Text Solution

    |

  7. The distance of the origin from the normal drawn at the point (1,-1) o...

    Text Solution

    |

  8. Tangent is drawn at the point (-1,1) on the hyperbola 3x^2-4y^2+1=0. T...

    Text Solution

    |

  9. Let LL1 be a latusrectum of a hyperbola and S1 is the other focus. If ...

    Text Solution

    |

  10. If a latus rectum of an ellipse subtends a right angle at the centre o...

    Text Solution

    |

  11. I the latus rectum through one focus of a hyperbola subtends a right ...

    Text Solution

    |

  12. The transverse axis of the hyperbola 5x^2-4y^2-30x-8y+121=0 is

    Text Solution

    |

  13. If the pair of lines b^2x^2-a^2y^2=0 are inclined at an angle theta, t...

    Text Solution

    |

  14. If 2^a+2^(4-a) lt 17, then (x^2)/(a)+(y^2)/(b)=1 reperesents

    Text Solution

    |

  15. If the tangent at point P(h, k) on the hyperbola (x^(2))/(a^(2))-(y^(2...

    Text Solution

    |

  16. If the tangents drawn from a point on the hyperbola x^2-y^2=a^2-b^2 to...

    Text Solution

    |

  17. The locus of a point from which two tangent are drawn to x^2-y^2=a^2 w...

    Text Solution

    |

  18. Let a and b be bonzero real numbers. Then the equation (ax^(2)+by^(2)+...

    Text Solution

    |

  19. If e1 is the eccentricity of the ellipse x^2/16+y^2/25=1 and e2 is th...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |