Let \( R S \) be the diameter of the circle \( x^{2}+y^{2}=1 \), where \( S \) is the point \( (... VIDEO
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 \( R \)
P and \( S \) ) on the circle and tangents to the circle at \( S \) and \( P \)
W meet at the point \( Q \). The normal to the circle at \( P \) intersects a line drawn through \( Q \) parallel to \( R S \) at point \( E \). Then the locus of \( E \) passes through the point(s)
(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) \( \left(\frac{1}{4},-\frac{1}{2}\right) \)
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