Ellipse 1 Question 11
12. Let be a point on the ellipse . Let the line parallel to -axis passing through meet the circle at the point such that and are on the same side of -axis. For two positive real numbers and , find the locus of the point on such that as varies over the ellipse.
Passage Type Questions
Passage
Let
(2016 Adv.)
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Answer:
Correct Answer: 12. (a)
Solution:
- Given,
Let the coordinates of
and
On squaring and adding Eqs. (i) and (ii), we get
Hence, locus of