Home
Class 12
MATHS
The length of conjugate axis of a hyperb...

The length of conjugate axis of a hyperbola is greater than the length of transverse axis. Then the eccentricity e is,

A

`=sqrt2`

B

`gtsqrt2`

C

`ltsqrt2`

D

`lt(1)/(sqrt2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2025|1 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If the latus rectum of a hyperbola is equal to half of its transverse axis, then its eccentricity is -

An ellipse and a hyperbola are confocal (have the same focus) and the conjugate axis of the hyperbola is equal to the minor axis of the ellipse. If e_1a n de_2 are the eccentricities of the ellipse and the hyperbola, respectively, then prove that 1/(e_1^2)+1/(e_2^2)=2 .

The length of slant height of a right circular cone is always greater than the length of its height .

The length of the conjugate axis of the hyperbola 9x^(2) - 25y^(2) = 225 is -

If the length of conjugate axis and the length of latus rectum of a hyperbola are equal, find its eccentricity.

Prove tha the major axis of an ellipse is greater than its minor axis.

If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is

The lengths of transverse and conjugate axes of a hyperbola are 4 unit and 6 unit respectively and their equations are x + 3 = 0 and y - 1 = 0, find the equation of the hyperbola.

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. (x^(2))/(16)+(y^(2))/(9)=1

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. 16x^(2)+y^(2)=16

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-WBJEE 2026
  1. If e^(sinx)-e^(-sinx)-4=0, then the number of real values of x is

    Text Solution

    |

  2. The angles of a triangle are in the ratio 2:3:7 and the raidus of the ...

    Text Solution

    |

  3. A variable line passes through a fixed point (x(1),y(1)) and meets the...

    Text Solution

    |

  4. A straight line through the point (3, -2) is inclined at an angle 60^(...

    Text Solution

    |

  5. A variable line passes through the fixed point (alpha,beta). The locus...

    Text Solution

    |

  6. If the point of intersection of the lines 2ax+4ay+c=0 and 7bx+3by-d=0 ...

    Text Solution

    |

  7. A variable circle passes through the fixed point A(p,q) and touches x-...

    Text Solution

    |

  8. If P(0,0,)Q(1,0)andR((1)/(2),(sqrt3)/(2)) are three given points, then...

    Text Solution

    |

  9. For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1, whi...

    Text Solution

    |

  10. S and T are the foci of an ellipse and B is the end point of the minor...

    Text Solution

    |

  11. The equation of the directrices of the hyperbola 3x^(2)-3y^(2)-18x+12y...

    Text Solution

    |

  12. P is the extremity of the latusrectum of ellipse 3x^(2)+4y^(2)=48 in t...

    Text Solution

    |

  13. For any non-zero complex number z, the minimum value of |z|+|z-1| is

    Text Solution

    |

  14. The polar coordinate of point P is (2,(pi)/(4)). The polar coordinate ...

    Text Solution

    |

  15. The length of conjugate axis of a hyperbola is greater than the length...

    Text Solution

    |

  16. The value of lim(xto0+)(x)/(p)[(q)/(x)] is

    Text Solution

    |

  17. Let x(1),x(2) be the roots of x^(2)-3x+a=0andx(3),x(4) be the roots of...

    Text Solution

    |

  18. If thetainRRand(1-icostheta)/(1+2icostheta) is real number, then theta...

    Text Solution

    |

  19. Straight lines x-y=7andx+4y=2 intersect at B. Points A and C are so ch...

    Text Solution

    |

  20. Equation of a tangent to the hpyerbola 5x^(2)-y^(2)=5 and which passes...

    Text Solution

    |