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Family of straight lines

The circle x2...

Question

The circle $x^{2} + y^{2} = 1$ cuts the x-axis at P and Q. Another circle with centre at Q and variable radius intersects to first circle at R above the X-axis and the line segment PQ at S. The maximum area of the triangle QSR is

A

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B

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C

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D

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Solution

The correct option is C

$(x + 1)^{2} + y^{2} = r^{2} x^{2} + y^{2} = 1$

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