Home
Class 12
MATHS
The equation of the hyperbola in the sta...

The equation of the hyperbola in the standard form (with transverse axis along x-axis) having the length of latus rectum =9 unit and eccentricity `5/4` is-

A

`(X ^(2))/(16) -(Y^(2))/(18) =1`

B

`(X^(2))/(36) -(Y^(2))/(27) =1`

C

`(X^(2))/(64) -(Y^(2))/(36) =1`

D

`(X^(2))/(36) -(Y^(2))/(64) =1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the parabola whose vertex is at (2,-3) , axis is parallel to x - axis and length of latus rectum is 12 .

The equation of hyperbola whose coordinates of the foci are (pm 8 , 0) and the length of latus rectum is 24 units is _

Find the eccentricity of the hyperbola whose latusrectum and transverse axis are of same length.

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

Find the equation of the hyperbola whose axis are the axis of coordinates and eccentricity is sqrt((3)/(2)) and length of latus rectum is sqrt(2) .

Find the equation of the hyperbola, whose axes are axes of coordinates and eccentricity is sqrt((3)/(2)) and the length of semi-latus rectum is 2.

Find the equation of the hyperbola, whose axes are axes of coordinates and coordinates of foci are (pm(5)/(2),0) and the length of latus rectum is (9)/(4) .

If asymptotes of hyperbola bisect the angles between the transverse axis and conjugate axis of hyperbola, then what is eccentricity of hyperbola?

Find the equation of the ellipse whose centre lies at the origin,major axis lines on the x-axis,eccentricity is 2//3 and length of the latus rectum is 5 units.

Find the equation of the hyperbola, whose axes are axes of coordinates and lengths of conjugate axis and latus rectum are 2 (8)/(3) respectively.

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 6
  1. The circel (x-2) (x-2+a) +(y+3) (y+3+b) =36 will bisect the circumfere...

    Text Solution

    |

  2. What is the eccentricity of the ellipse whose length of minor axis is ...

    Text Solution

    |

  3. The equation of the hyperbola in the standard form (with transverse ax...

    Text Solution

    |

  4. If f(x) =1/2 ( sin x+ cos x) + ce ^(-x), then the vlaue of [f ' (x)+ ...

    Text Solution

    |

  5. If A and B are two finite sets, then which of the following is correct...

    Text Solution

    |

  6. Let A ={1,2,3,4} and relation R on A be defined as follows: R = (1,...

    Text Solution

    |

  7. If phi is the empty set then which one of the following is correct ?

    Text Solution

    |

  8. Let f (x)= [x] where [x] denotes the greatest integer contained in x. ...

    Text Solution

    |

  9. Let A, B, C be any three non-empty sets. If A uuB= A uuC, then which o...

    Text Solution

    |

  10. Suppose S and S' are foci of the dllipse (x^(2))/(25) + (y^(2))/(16) =...

    Text Solution

    |

  11. In a class containing 120 students, 65 students dring tea and 84 stude...

    Text Solution

    |

  12. The number of elements in the set {(a,b), 2a^(2) +3b^(2) =35, a, b, in...

    Text Solution

    |

  13. Which one of the following is correct for the graph of y=|x| ?

    Text Solution

    |

  14. The value of lim (hto0) 1/h[(1)/(""^(3)sqrt(8+h))-1/2] is-

    Text Solution

    |

  15. If f, RR to RR is defined by f (x) ={{:((x-2)/(x ^(2) -3x+2)"," ,"when...

    Text Solution

    |

  16. If f(x) =lx ^(2) +mx+n, then the value of (f(x+3) -f(x))/(f(x+2)-f(x+1...

    Text Solution

    |

  17. If n is any integer, then all the points at which the function f (x) =...

    Text Solution

    |

  18. If f (x) ={{:(x",", "when " 0 lt x lt 1),(2-x",", "when" 1 lt x le 2):...

    Text Solution

    |

  19. If the function f (x) is differentiable at x=h, then the value of lim(...

    Text Solution

    |

  20. If y= cot ^(-1)""(b-ax)/(a+bx), then the value of (dy)/(dx) is-

    Text Solution

    |