Home
Class 12
MATHS
If lines 2x+3y=10 and 2x-3y=10 are tang...

If lines `2x+3y=10 and 2x-3y=10` are tangents at the extremities of a latus rectum of an ellipse, whose centre is origin, then the length of the latus rectum is :

A

`(110)/(27)`

B

`(98)/(27)`

C

`(100)/(27)`

D

`(120)/(27)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : Comprehension Type Problems|5 Videos
  • ELLIPSE

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-4 : Subjective Type Problems|2 Videos
  • DIFFERENTIAL EQUATIONS

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|6 Videos
  • FUNCTION

    VIKAS GUPTA (BLACK BOOK)|Exercise SUBJECTIVE TYPE PROBLEMS|34 Videos

Similar Questions

Explore conceptually related problems

Show that the tangents at the extremities of the latus rectum of an ellipse intersect on the corresponding directrix.

Find the extremities of latus rectum of the parabola y=x^(2)-2x+3

If the focus of a parabola is (3,3) and its directrix is 3x-4y=2 then the length of its latus rectum is

The lenth of the latus rectum of the ellipse 3x^2+y^2=12 is :

For the ellipse 3x ^(2) + 4y ^(2) =12, the length of latus rectum is

Length of a latus rectum of the ellipse x^2/81+y^2/63=1 is (in units)