Home
Class 12
MATHS
For the hyperbola x^2/(cos^2alpha)-y^2/(...

For the hyperbola `x^2/(cos^2alpha)-y^2/(sin^2alpha)=1``; (0

A

eccentricity

B

directrix

C

abscisae of vertices

D

abscissae of foci

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 Videos

  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|18 Videos

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1 which of the following remains constant with change in alpha

For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1;(0

For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1; (0

For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1 which of the following remains constant when varies? (1) eccentricity (2) directrix (3) abscissae of vertices (4) abscissae of foci

Which one of the following is independent of (0 lt alpha lt pi//2) for the hyperbola (x^(2))/(cos^(2) alpha)-(y^(2))/(sin^(2)alpha)=1

Given the family of hyperbolas x^(2)/(cos^(2)alpha)-y^(2)/sin^(2)alpha=1" for "alphain(0,pi//2) which of the following does not change with varying alpha ?

For the hyperbola (x^(2))/(cos^(2) alpha ) - (y^(2))/(sin^(2) alpha ) = 1 , where alpha is a parameter, which of the following remains constant ?

Line xcos alpha +y sin alpha =p is a normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , if

MCGROW HILL PUBLICATION-HYPERBOLA-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. The locus a point P(alpha,beta) moving under the condition that the li...

    Text Solution

    |

  2. The normal to a curve at P(x, y) meets the x-axis at G. If the dist...

    Text Solution

    |

  3. For the hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1; (0<alpha<pi/4)

    Text Solution

    |

  4. The equation of the hyperbola whose foci are (-2, 0) and (2,0) and ecc...

    Text Solution

    |

  5. A tangent to the hyperbola meets x-axis at P and y-axis at Q. Lines P...

    Text Solution

    |

  6. A common tangent to the conics x^2=6y and 2x^2-4y^2=9 is

    Text Solution

    |

  7. If P(3 sec theta,2 tan theta) and Q(3 sec phi , 2 tan phi) where theta...

    Text Solution

    |

  8. The tangent at an extremity (in the first quadrant) of latus rectum of...

    Text Solution

    |

  9. An ellipse passes through the foci of the hyperbola, 9x^2 - 4y^2 = 36 ...

    Text Solution

    |

  10. The eccentricity of the hyperbola whose length of the latus rectum is ...

    Text Solution

    |

  11. A hyperbola whose transverse axis is along the major axis of the conic...

    Text Solution

    |

  12. Let a and b respectively be the semi-transverse and semi-conjugate axe...

    Text Solution

    |

  13. The locus of the point of intersection of thestraight lines tx-2y-3t=...

    Text Solution

    |

  14. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

    Text Solution

    |

  15. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |

  16. If the tangent drawn to the hyperbola 4y^2=x^2+1 intersect the co-ordi...

    Text Solution

    |

  17. If a hyperbola has length of its conjugate axis equal to 5 and the dis...

    Text Solution

    |

  18. Equation of a common tangent to the parabola y^(2)=4x and the hyperbol...

    Text Solution

    |

  19. Let 0 lt theta lt (pi)/2. If the eccentricity of the hyperbola (x^(2))...

    Text Solution

    |

  20. The equation of tangent to hyperbola 4x^2-5y^2=20 which is parallel to...

    Text Solution

    |