Home
Class 12
MATHS
If alpha+beta=3pi , then the chord joini...

If `alpha+beta=3pi` , then the chord joining the points `alpha` and `beta` for the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` passes through which of the following points? Focus (b) Center One of the endpoints of the transverse exis. One of the endpoints of the conjugate exis.

A

focus

B

centre

C

one of the end point of the transverse axis

D

one of the end of the conjugate axis

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

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

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 3|17 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 locus of the mid points of the chords passing through a fixed point (alpha, beta) of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is

The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, ) and has the eccentricity 2. Then the transverse axis of the hyperbola has the length 1 (b) 3 (c) 2 (d) 4

If the ratio of transverse and conjugate axis of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 passing through the point (1,1) is (1)/(3), then its equation is

If alpha and beta are two points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and the chord joining these two points passes through the focus (ae,0) then e cos((alpha-beta)/(2))

If the tangents at the point (a sec alpha, b tan alpha) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the transverse axis at T , then the distance of T from a focus of the hyperbola, is

If (alpha-beta)=(pi)/(2) ,then the chord joining the points whose eccentric angles are alpha and beta of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 touches the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=(1)/(k) , then ( 5k^(2)+2) is equal to

If two perpendicular tangents can be drawn from the point (alpha,beta) to the hyperbola x^(2)-y^(2)=a^(2) then (alpha,beta) lies on

If the tangent at the point (asec alpha, b tanalpha ) to the hyberbola (x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1 meets the transverse axis at T. Then the distances of T form a focus of the hyperbola is

Prove that the locus of the middle-points of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which pass through a fixed point (alpha, beta) is a hyperbola whose centre is ((alpha)/(2), (beta)/(2)) .

ARIHANT MATHS-HYPERBOLA-Exercise (Single Option Correct Type Questions)
  1. Let A=(-3, 4) and B=(2, -1) be two fixed points. A point C moves such ...

    Text Solution

    |

  2. A point P is taken on the right half of the hyperbola (x^(2))/(a^(2))-...

    Text Solution

    |

  3. If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^...

    Text Solution

    |

  4. If alpha+beta=3pi , then the chord joining the points alpha and beta f...

    Text Solution

    |

  5. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

    Text Solution

    |

  6. Chords of the hyperbola, x^2-y^2 = a^2 touch the parabola, y^2 = 4ax. ...

    Text Solution

    |

  7. An ellipse has eccentricity 1/2 and one focus at the point P(1/2,1)....

    Text Solution

    |

  8. The equation of the line passing through the centre of a rectangular h...

    Text Solution

    |

  9. The condition that a straight line with slope m will be normal to para...

    Text Solution

    |

  10. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

    Text Solution

    |

  11. The co-ordinates of the centre of the hyperbola, x^2+3x y+3y^2+2x+3y+2...

    Text Solution

    |

  12. Let F1,F2 are the foci of the hyperbola x^2/16-y^2/9=1 and F3,F4 are t...

    Text Solution

    |

  13. Locus of the point of intersection of the tangents at the points with ...

    Text Solution

    |

  14. Latusrectum of the conic satisfying the differential equation xdy+ydx=...

    Text Solution

    |

  15. The point of intersection of the curve whose parametrix equations are ...

    Text Solution

    |

  16. If the tangent and normal to a rectangular hyperbola cut off intercept...

    Text Solution

    |

  17. The focus of rectangular hyperbola (x-a)*(y-b)=c^2 is

    Text Solution

    |

  18. The equation of a hyperbola conjugate to the hyperbola x^(2)+3xy+2y^(2...

    Text Solution

    |

  19. If values of a, for which the line y=ax+2sqrt(5) touches the hyperbola...

    Text Solution

    |

  20. Let C be a curve which is the locus of the point of intersection of li...

    Text Solution

    |