Home
Class 11
MATHS
The eccentricity of the hyperbola whose ...

The eccentricity of the hyperbola whose latus rectum is half of its transverse axis is:

A

`1/sqrt2`

B

`sqrt(3/2)`

C

`sqrt(2/3)`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER (11)

    JBD PUBLICATION|Exercise EXERCISE|39 Videos
  • MODEL PAPER (13)

    JBD PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

Write the eccentricity of the hyperbola whose latus rectum is half of its transverse axis.

The eccentricity of the hyperbola whose latus-rectum is 8 and length of the conjugate axis is equal to half the distance between the foci, is

Find the eccentricity of the ellipse if : the latus-rectum is one half of its minor axis.

Find the eccentricity of the ellipse if : the latus-rectum is one half of its major axis.

The eccentricity of the ellipse x^2/a^2+y^2/b^2=1 , if its latus rectum is half of its minor axis, is :

Find the equation of the parabola whose latus-rectum is 4 units , axis is the line 3x+4y-4=0 and the tangent at the vertex is the line 4x-3y+7=0.

Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose latus rectum is half of its major axis.

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 9y^2 - 4x^2 = 36

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 49y^2 - 16x^2 = 784

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 16x^2 -9y^2 = 576

JBD PUBLICATION-MODEL PAPER (12)-EXERCISE
  1. The G.M. between -2i and 8i is:

    Text Solution

    |

  2. A line passes through the point (2,2) and is perpendicular to the lin...

    Text Solution

    |

  3. The eccentricity of the hyperbola whose latus rectum is half of its tr...

    Text Solution

    |

  4. underset(xrarr0)lim x/(tanx) is equal to:

    Text Solution

    |

  5. If A and B are mutually exclusive events then:

    Text Solution

    |

  6. Prove that : (tan (pi/4+x))/(tan (pi/4-x))= ((1+tanx)/(1-tanx))^2.

    Text Solution

    |

  7. Prove the following: cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x...

    Text Solution

    |

  8. Express: (-i)(2i)(-1/8i)^3 in the form of a+ib.

    Text Solution

    |

  9. Find the fourth term from the end in the expansion of [x^3/2-2/x^3]^9.

    Text Solution

    |

  10. Show that 9^(n+1) - 8n -9 is divisible by 64, whenever n is a positiv...

    Text Solution

    |

  11. Find the lenghts of the medians of the triangle with vertices A(0,0,6)...

    Text Solution

    |

  12. Find out which of the following sentences are statements and which are...

    Text Solution

    |

  13. Find out which of the following sentences are statements and which are...

    Text Solution

    |

  14. Find the component statement of the following and check whether they a...

    Text Solution

    |

  15. Let A={a,b,c} and B={1,2,3}. Find the number of relations from A into ...

    Text Solution

    |

  16. Show tha: cos6A=32cos^6A-48cos^4A+18cos^2A-1

    Text Solution

    |

  17. 1^2+2^2+3^3+.....+n^2=(n(n+1)(2n+1))/(6)

    Text Solution

    |

  18. If ^nC3=56 and ^nP3=336, find n .

    Text Solution

    |

  19. The English alphabet has 5 vowels and 21 consonants. How many words wi...

    Text Solution

    |

  20. The sum of two numbers is 6 times their G.M. show that numbers are in ...

    Text Solution

    |