Home
Class 12
MATHS
The number of points on the hyperbola (x...

The number of points on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=3` from which mutually perpendicular tangents can be drawn to the circle `x^2+y^2=a^2` is/are (a)0 (b) 2 (c) 3 (d) 4

A

`0`

B

`2`

C

`3`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

The number of points outside the hyperbola x^2/9-y^2/16=1 from where two perpendicular tangents can be drawn to the hyperbola are:

The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which a pair of perpendicular tangents is drawn to the ellipse (x^2)/(16)+(y^2)/9=1 is 0 (b) 2 (c) 1 (d) 4

Find the equation of the tangent to the hyperbola x^(2)-4y^(2)=36 which is perpendicular to the line x-y+4=0 .

Let ( alpha , beta ) be a point from which two perpendicular tangents can be drawn to the ellipse 4x^(2)+5y^(2)=20 . If F=4alpha+3beta , then

For the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , let n be the number of points on the plane through which perpendicular tangents are drawn.

The number of common tangents to the circles x^2+y^2-y=0 and x^2+y^2+y=0 is :

Length of common tangents to the hyperbolas x^2/a^2-y^2/b^2=1 and y^2/a^2-x^2/b^2=1 is

Find the equation of tangent to the hyperbola 16x^(2)-25y^(2)=400 perpendicular to the line x-3y=4.

If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is 120^0 and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be x^2+y^2=6 (b) x^2+y^2=9 x^2+y^2=3 (d) x^2+y^2=18

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

ARIHANT MATHS-HYPERBOLA-Exercise For Session 3
  1. The diameter of 16x^(2)-9y^(2)=144 which is conjugate to x=2y is

    Text Solution

    |

  2. Tangents drawn from a point on the circle x^2+y^2=9 to the hyperbola x...

    Text Solution

    |

  3. If H=(x^(2))/(a^(2))-(y^(2))/(b^(2))-1=0, C=(x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  4. Find the angle between the asymptotes of the hyperbola (x^(2))/(16)-(y...

    Text Solution

    |

  5. If e and e(1), are the eccentricities of the hyperbolas xy=c^(2) and x...

    Text Solution

    |

  6. Find the product of the length of perpendiculars drawn from any point ...

    Text Solution

    |

  7. The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from w...

    Text Solution

    |

  8. If the sum of the slopes of the normal from a point P to the hyperbola...

    Text Solution

    |

  9. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

    Text Solution

    |

  10. A ray emanating from the point (sqrt(41), 0) is incident on the hyperb...

    Text Solution

    |

  11. If a ray of light incident along the line 3x+(5-4sqrt2)y=15 gets refle...

    Text Solution

    |

  12. The equation of the transvers and conjugate axes of a hyperbola are, ...

    Text Solution

    |

  13. Find the equation of that diameter which bisects the chord 7x+y-2=0 of...

    Text Solution

    |

  14. Find the equation of the hyperbola which has 3x-4y+7=0 and 4x+3y+1=0 a...

    Text Solution

    |

  15. The asymptotes of the hyperbola centre of the point (1, 2) are parall...

    Text Solution

    |

  16. If the pair of straight lines Ax^(2)+2Hxy+By^(2)=0 be conjugate diamet...

    Text Solution

    |

  17. A circle cuts the rectangular hyperbola xy=1 in the points (x(r),y(r)...

    Text Solution

    |