The locus of the midpoint of the chord of contact of tangents drawn...

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The locus of the midpoint of the chord of contact of tangents drawn from the points lying on the straight line
\( \mathrm{P} \) \( 4 x-5 y=20 \) to the circle \( x^{2}+y^{2}=9 \) is

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(1) \( 20\left(x^{2}+y^{2}\right)-36 x+45 y=0 \)
(2) \( 20\left(x^{2}+y^{2}\right)+36 x-45 y=0 \)
(3) \( 36\left(x^{2}+y^{2}\right)-20 x+45 y=0 \)
(4) \( 36\left(x^{2}+y^{2}\right)+20 x-45 y=0 \)
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