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P is variable point on the line y=4. ta...

P is variable point on the line `y=4`. tangents are drawn to the circle `x^2+y^2=4` from the points touch it at A and B. The parallelogram PAQB be completed.If locus of Q is `(y+a)(x^2+y^2)=by^2` ,the value of `a+b` Is:

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The correct Answer is:
Hence, locus of Q `(alpha,beta)" is "(x^(2)+y^(2))(y+4)=2y^(2)`
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