Home
Class 11
MATHS
The mid-point of the chord intercepted b...

The mid-point of the chord intercepted by the hyperbola `9x^(2)-16y^(2)=144` on the line `9x-8y-10=0`, is

A

`(1,2)`

B

`(-1,2)`

C

`(-2,1)`

D

`(2,1)`

Text Solution

AI Generated Solution

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

Find the mid point of the chord intercepted by the circle x^(2)+y^(2)-2x-10y+1=0 on the line x-2y+7=0

The mid point of the chord 4x-3y=5 of the hyperbola 2x^(2)-3y^(2)=12 is

The eccentricity of the hyperbola 9x^(2) -16y^(2) =144 is

The mid point of the chord x+2y+3=0 of the hyperbola x^(2)-y^(2)=4 is

Find the length of the chord intercepted by the circle x^(2)+y^(2)-8x-6y=0 on the line x-7y-8=0 .

Write the eccentricity of the hyperbola 9x^2-16 y^2=144.

Write the coordinates of the foci of the hyperbola 9x^2-16 y^2=144.

(i) Find the length of the chord intercepted by the circle x^(2)+y^(2)-8x-2y-8=0 on the line x+y+1=0 (ii) Find the length of the chord intercepted by the circle x^(2)+y^(2)+8x-4y-16=0 on the line 3x-y+4=0 (iii) Find the length of the chord formed by x^(2)+y^(2)=a^(2) on the line xcos alpha +y sin alpha=p

The locus of the mid-point of the chords of the hyperbola x^(2)-y^(2)=4 , that touches the parabola y^(2)=8x is

The point of contact of 9x+8y-11=0 to the hyperbola 3x^(2)-4y^(2)=11 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

    |