Home
Class 12
MATHS
Find the product of the length of perpen...

Find the product of the length of perpendiculars drawn from any point on the hyperbola `x^2-2y^2-2=0` to its asymptotes.

A

`(1)/(2)`

B

`2`

C

`(2)/(3)`

D

`(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

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

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

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|14 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos
  • INDEFINITE INTEGRAL

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

Similar Questions

Explore conceptually related problems

.Find the product of lengths of the perpendiculars from any point on the hyperbola x^2/16-y^2/9=1 to its asymptotes.

The product of lengths of perpendicular from any point on the hyperbola x^(2)-y^(2)=8 to its asymptotes, is

The product of lengths of perpendicular from any point on the hyperola x^(2)-y^(2)=16 to its asymptotes is

The product of perpendicular drawn from any points on a hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 to its asymptotes is

Find the product of the perpendiculars drawn from the point (x_1,y_1) on the lines ax^2+2hxy+by^2=0

the product of the perpendicular distance from any points on a hyperbola to its asymptotes is

Find the length of perpendicular drawn from point (2,-1) to the line 3x+4y-11=0 .

Find the co-ordinates of the foot of perpendicular drawn from the point (3,-3) to the line x-2y=4 .

The product of the perpendiculars drawn from the point (1,2) to the pair of lines x^(2)+4xy+y^(2)=0 is

Find the length of the perpendicular drawn from the origin to the plane 2x - 3y+6z+21=0.

ARIHANT MATHS ENGLISH-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

    |