Home
Class 12
MATHS
The point of intersection of two perpend...

The point of intersection of two perpendicular tangents to `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` lies on the circle

A

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

B

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

C

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

D

`x^(2)+y^(2)=a^(2)-b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of two perpendicular tangents to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , lies on

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

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

The point of intersection of perpendicular lines a x^(2)+3 x y-2 y^(2)-5 x+5 y+c=0 is

If y=m x+c is a tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 then b^(2) =

Locus of the point of intersection of the tangent at the ends of focal chord of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , (b lt a) is

The point of intersection of two tangents to the hyperbola x^2/a^2-y^2/b^2=1 , the product of whose slopes is c^2 , lies on the curve.

The condition that y=m x+c is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 is

The product of the perpendiculars from the foci on any tangent to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 is

The product of the slopes of two tangents drawn to the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is 4 , Then the locus of the point of intersection of the tangent is

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The eccentricity of the hyperbola 36 x^(2)-25 y^(2)=900 is

    Text Solution

    |

  2. If P is any point on the hyperbola ((x-1)^(2))/(9)-((y+1)^(2))/(16)=1 ...

    Text Solution

    |

  3. The point of intersection of two perpendicular tangents to (x^(2))/(a^...

    Text Solution

    |

  4. The line p=x cos alpha+y sin alpha becomes tangent to (x^(2))/(a^(2))-...

    Text Solution

    |

  5. The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1 is

    Text Solution

    |

  6. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

    Text Solution

    |

  7. The length of transverse axis of the hyperbola 3x^(2) - 4y^(2) = 32 is

    Text Solution

    |

  8. Which of the statements in the following is false in respect of the co...

    Text Solution

    |

  9. The locus of a point which moves such that the difference of its dista...

    Text Solution

    |

  10. Eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

    Text Solution

    |

  11. The equation to the hyperbola having its eccentricity 2 and the distan...

    Text Solution

    |

  12. If the distance between the foci and the distance between the directri...

    Text Solution

    |

  13. If (x^(2))/(36) - (y^(2))/(k^(2)) = 1 is a hyperbola, then which of th...

    Text Solution

    |

  14. The distance between the foci of the hyperbola x=8 sec theta, y=6 tan ...

    Text Solution

    |

  15. Which one of the following is independent of alpha in the hyperbola (0...

    Text Solution

    |

  16. 2x +sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of cont...

    Text Solution

    |

  17. If e(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1...

    Text Solution

    |

  18. The equation of the chord joining the points (x1,y1) and (x2,y2) on th...

    Text Solution

    |

  19. The locus of a point P(alpha, beta) moving under the condition that th...

    Text Solution

    |

  20. The curve represented by x=a(cosh theta+sinh theta), y=b(cosh theta-si...

    Text Solution

    |