Home
Class 12
MATHS
(5,-4) and (-3, 2) are two foci of an el...

`(5,-4) and (-3, 2)` are two foci of an ellipse whose eccentricity is `2/3.` Then the length of the minor axis of the ellipse is-

Text Solution

Verified by Experts

The correct Answer is:
`:.` the required length of minor axis = 2b `=5sqrt(5)` unit .
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise M . C . Q|20 Videos
  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Qustions|33 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type-|2 Videos

Similar Questions

Explore conceptually related problems

(1.3) and (4,-1) are two foci of an ellipse whose eccentricity is (1)/(4) . Find the length of the mojor axis .

The length of the semi-major axis of an ellipse is 13 and its eccentricity is 12/13. Then the length of the semi-minor axis is

The length of minor axis of the ellipse 9x^(2) + 4y ^(2) = 36 is _

Let the distance between a focus and the corresponding directrix of an ellipse be 8 and the eccentricity be 1/2 . If the length of the minor axis is k , then (sqrt(3)k)/2 is ____________

Find the eccentricity of the ellipse if the length of rectum is equal to half the minor axis of the ellipse .

If (5, 12) and (24, 7) are the foci of an ellipse passing through the origin, then find the eccentricity of the ellipse.

The latus rectum of an ellipse is equal to one-half of its minor axis. The eccentricity of the ellipse is

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is sqrt((2)/(3)) and the length of semi-latus rectum is 2 unit

Let the length of latus rectum of an ellipse with its major axis along x-axis and center at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of the minor axis , then which of the following points lies on it: (a) (4sqrt2, 2sqrt2) (b) (4sqrt3, 2sqrt2) (c) (4sqrt3, 2sqrt3) (d) (4sqrt2, 2sqrt3)

Find the equation of the ellipse whose foci are (2, 3) and (-2, 3) and whose length of semi minor axis is sqrt5