Home
Class 11
MATHS
The locus of the point of intersection o...

The locus of the point of intersection of perpendicular tangents to the hyperbola `(x^(2))/(3)-(y^(2))/(1)=1`, is

A

`x^(2)+y^(2)=2`

B

`x^(2)+y^(2)=3`

C

`x^(2)-y^(2)=3`

D

`x^(2)+y^(2)=4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|56 Videos

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • INEQUALITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise EXERCISE SECTION-II (Assertion-Reason )|1 Videos

Similar Questions

Explore conceptually related problems

Statement- 1 : Tangents drawn from the point (2,-1) to the hyperbola x^(2)-4y^(2)=4 are at right angle. Statement- 2 : The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is the circle x^(2)+y^(2)=a^(2)-b^(2) .

IF the locus of the point of intersection of two perpendicular tangents to a hyperbola (x^(2))/(25) - (y^(2))/(16) =1 is a circle with centre (0, 0), then the radius of a circle is

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

The locus of the point of intersection of the perpendicular tangents to the parabola x^2=4ay is .

The locus of point of intersection of perpendicular tangent to parabola y^2= 4ax

The locus of the point of intersection of the perpendicular tangents to the ellipse 2x^(2)+3y^(2)=6 is

Locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=10 is

Find the locus of the point of intersection of perpendicular tangents to the circle x^(2) + y^(2)= 4

Find the locus of the point of intersections of perpendicular tangents to the circle x^(2) +y^(2) =a^(2)

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

OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Chapter Test
  1. If the tangent at (h, k) on b^2x^2-a^2y^2=a^2b^2 cuts the auxiliary ci...

    Text Solution

    |

  2. If the chords of contact of tangents drawn from P to the hyperbola x^(...

    Text Solution

    |

  3. The tangent at a point P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

    Text Solution

    |

  4. The mid-point of the chord intercepted by the hyperbola 9x^(2)-16y^(2)...

    Text Solution

    |

  5. Locus of P such that the chord of contact of P with respect to y^2=4ax...

    Text Solution

    |

  6. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

    Text Solution

    |

  7. If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2), then

    Text Solution

    |

  8. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

    Text Solution

    |

  9. The product of lengths of perpendicular from any point on the hyperbol...

    Text Solution

    |

  10. The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3, is

    Text Solution

    |

  11. Find the area of the triangle formed by any tangent to the hyperbola (...

    Text Solution

    |

  12. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^2...

    Text Solution

    |

  13. The distance between the directrices of the hyperbola x=8s e ctheta,\ ...

    Text Solution

    |

  14. The straight line x+y=sqrt(2)p will touch the hyperbola 4x^(2)-9y^(2)=...

    Text Solution

    |

  15. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  16. .Find the product of lengths of the perpendiculars from any point on t...

    Text Solution

    |

  17. The angle between the asymptotes of the hyperbola 27x^(2)-9y^(2)=24, i...

    Text Solution

    |

  18. The equation of the chord of contact of tangents from (1,2) to the hyp...

    Text Solution

    |

  19. Equation of the hyperbola whose vertices are (+-3,0) and foci at (+-5,...

    Text Solution

    |

  20. The length of the semi-transverse axis of the rectangular hyperbola xy...

    Text Solution

    |