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**Paragraph for Question 7 and 8**

A tangent PT is drawn to the circle $x^{2}+y^{2}=4$ at the point $P(\sqrt{3}, 1) .$ A straight line L, perpendicular to PT is a tangent to the circle $(x-3)^{2}+y^{2}=1$

**Paragraph “X”**

Let S be the circle in the xy-plane defined by the equation $x^{2}+y^{2}=4$.

(*There are two question based on Paragraph “X”, the question given below is one of them*)

**Paragraph “X”**

Let S be the circle in the xy-plane defined by the equation $x^{2}+y^{2}=4$

(*There are two questions based on Paragraph “X”, the question given below is one of them*)