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 tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (0,-b) and the normal at P passes through the point (2asqrt(2),0) . Then the eccentricity 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)) .

If alpha and beta are the roots of x^2+x+1=0 , then alpha^16 + beta^16 =

The locus of the mid-points of the chords of the ellipse x^2/a^2+y^2/b^2 =1 which pass through the positive end of major axis, is.

If alpha and beta are the roots of 4x^2 + 3x + 7 = 0 then the value of alpha beta

For the hyperbola x^2/ cos^2 alpha - y^2 /sin^2 alpha = 1;(0 lt alphalt pi/4) . Which of the following remains constant when alpha varies?

PQ is a chord joining the points phi_1 and phi_2 on the hyperbola x^2/a^2 - y^2/b^2 = 1 . If phi_1 and phi_2 = 2 alpha , where alha is constant, prove that PQ touches the hyperbola x^2/a^2 cos^2 alpha - y^2 /b^2 = 1

If the chord, joining two points whose eccentric angles are alpha and beta , cuts the major axis ofthe ellipse x^2/a^2 + y^2/b^2=1 at a distance c from the centre, then tan alpha//2.tan beta//2 is equal to

Which one of the following is independent of alpha in the hyperbola (0 < alpha

If alpha and beta are the roots of the equation x^2+x+1=0 , then alpha^2+beta^2 is equal to:

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. Find the 15^(th) term of the following sequence whose n^(th) term is ...

    Text Solution

    |

  7. An ellipse has eccentricity (1)/(2) and one focus at the point P ((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. Find the 5^(th) term of the G.P , 1/2 , 1/4 ,1/8 ....

    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 the values of m for which the line y=mx+2sqrt(5) touches the hyperb...

    Text Solution

    |

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

    Text Solution

    |