Your AI-Powered Personal Tutor
Question
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 ${1 \over 3}$ and the distance of the nearer focus from this directrix is ${8 \over {\sqrt {53} }}$, then the equation of the other directrix can be :
11x + 7y + 8 = 0 or 11x + 7y $-$ 15 = 0
11x $-$ 7y $-$ 8 = 0 or 11x + 7y + 15 = 0
2x $-$ 7y + 29 = 0 or 2x $-$ 7y $-$ 7 = 0
2x $-$ 7y $-$ 39 = 0 or 2x $-$ 7y $-$ 7 = 0

Solution

Please login to view the detailed solution steps...

Go to DASH