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Show that the locus of P where the tange...

Show that the locus of P where the tangents drawn from P to the circle `x^(2)+y^(2)=a^(2)` include an angle `alpha` is `x^(2)+y^(2)=a^(2)cosec^(2)(alpha)/2`

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The correct Answer is:
`x^(2) + y^(2) = a^(2) / (sin ^(2)frac (alpha)(2))= a^(2) "coses"^(2) alpha/2`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(d)
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