A variable chord of the circle \( x^{2}+y^{2}=4 \) is drawn from the point \( P(3,5) \) meeting ...
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1A variable chord of the circle \( x^{2}+y^{2}=4 \) is drawn from the point \( P(3,5) \) meeting the circle at the points \( A \) and \( B \). A point \( Q \) is taken on this chord such that \( 2 P Q=P A+ \) \( P B \). The locus of \( Q \) is
(A) \( x^{2}+y^{2}+3 x+4 y=0 \)
(B) \( x^{2}+y^{2}=36 \)
(C) \( x^{2}+y^{2}=16 \)
(D) \( x^{2}+y^{2}-3 x-5 y=0 \)
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