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 \frac{1}{3} and the distance of the nearer focus from this directrix is {8}/{\\sqrt{53}, then the equation of the other directrix can be: [27 Jul 2021 Shift 1]

Correct Answer is : 2x−7y+29=0 or 2x−7y−7=0

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Section: Mathematics

Question : 67 of 110

Marks: +1, -0

A ray of light through (2,1) is reflected at a pointP on the y-axis and then passes through the point(5,3). If this reflected ray is the directrix of an ellipse with eccentricity

and the distance of the nearer focus from this directrix is

√53

, then the equation of the other directrix can be:

[27 Jul 2021 Shift 1]

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

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