Home
Class 12
MATHS
Find the equation of hyperbola and lengt...

Find the equation of hyperbola and length of its latus rectum, whose vertices are `(9,2),(1,2)` and the ecentricity is `(5)/(4)`.

Text Solution

Verified by Experts

The correct Answer is:
`((x-5)^(2))/(16)-((y-2)^(2))/(9)=1and(9)/(2)` unit
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2019|1 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2020|1 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -C)|17 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

Find the equation of the hyperbola where foci are (0,+-12) and the length of the latus rectum is 36 .

Find the eccentricity of a hyperbola whose conjugate axis and latus rectum are equal.

Find the eccentricity of a hyperbola whose conjugate axis and latus rectum are equal.

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 vertices are (+-4,0) and foci (+-6,0) .

Find the coordinates of vartex and the length of latus rectum of the parabola whose focus is (0,0) and the directrix is the line 2 x + y =1

Find the eccentricity, and the length of latus rectum of the hyperbola x^(2) - y^(2) = 2

Find the equation of a parabola having its focus at S(2,0) and one extremity of its latus rectum at (2, 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) .

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) .