Let R S be the diameter of.... | Maths | JEE ADVANCED 2016

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Question

Let R S be the diameter of the circle $x^2+y^2=1$, where $S$ is the point $(1,0)$. Let $P$ be a variable point (other than R and S ) on the circle and tangents to the circle at S and P meet at the point Q . Then normal to the circle at P intersects a line drawn through Q parallel to RS at point E . Then the locus of E passes through the point(s)

Select ALL correct options:

A

$\left(\frac{1}{3}, \frac{1}{\sqrt{3}}\right)$

B

$\left(\frac{1}{4}, \frac{1}{2}\right)$

C

$\left(\frac{1}{3},-\frac{1}{\sqrt{3}}\right)$

D

$\left(\frac{1}{4},-\frac{1}{2}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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