Home
Class 11
MATHS
A ray of light through (2,1) is reflecte...

A ray of light through (2,1) is reflected at a point P on the y-axis and then passes through the point (5,3). If this reflected ray is the directrix of an ellipse with eccentricity `(1)/(3)` and the distance of the nearer focus from this directrix is `(8)/(sqrt53)`, then the equation of the other directrix can be

A

`2x- 7y+ 29= 0 or 2x- 7y- 7= 0`

B

`11x- 7y-8=0 or 11x + 7y+15= 0`

C

`11x+ 7y+ 8= 0 or 11x+ 7y-15= 0`

D

`2x- 7y- 39= 0 or 2x- 7y- 7= 0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

A ray of light through B(3,2) is reflected at the point A(0,beta) on the y-axis and passes through C(4,3). Then beta is

A ray of light passing through the point A(2,3) reflected at a point B on line x+y=0 and then passes through (5,3). Then the coordinates of B are

A ray of light passsing through a point (1,2) is reflected on the x-axis at point Q and passes through the point (5,8). Then the abscissa of the point Q is

A ray of light passing through the point (1,2) reflects on the xaxis at point A and the reflected ray passes through the point (5,3) . Find the coordinates of A.

A ray of light passing through the point (1,2) reflects on the x-axis at point A and the reflected ray passes through the point (5,3) Find the co-ordinates of A.

A ray of light passing through the point (8,3) gets reflected after it meets x -axis at (14,0) .Then the equation of the reflected ray

The y-axis is the directrix of the ellipse with eccentricity e=(1)/(2) and the corresponding focus is at (3,0), equation to its auxilary circle is

A ray of light passing through the point P(1,2) reflects on the x-axis at the point A and the reflected ray passes through the point Q(5,3). Find the coordinates of the point A