Home
Class 12
MATHS
Find the equation of that diameter which...

Find the equation of that diameter which bisects the chord `7x+y-2=0` of the hyperbola `(x^(2))/(3)-(y^(2))/(7)=1`.

Text Solution

Verified by Experts

The correct Answer is:
`x+3y=0`
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

Determine the equation of the circle whose diameter is the chord x + y = 1 of the circle x^2 +y^2= 4 .

Find the equation of that chord of the circle x^2 + y^2 = 15, which is bisected at the point (3,2)

Find the parametric equation of the circles : 2x^2 + 2y^2-5x-7y-3=0 .

Find the equations of the tangent and normal to the hyperbola x^2/a^2 - y^2/b^2 = 1 at the point (x_0,y_0)

Find the equation of tangents to the curve 4x^2-9y^2=1 which are parallel to 4y=5x+7.

Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 which is bisected at the point (5, 3).

Find the equation of the plane passing through the point (0,7,-7) and containing the line (x+1)/(-3)=(y-3)/2=(z+2)/1 .

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

    |