The equation of the locus of the middle point of the portion of the tangent to the ellipse \( \f...

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The equation of the locus of the middle point of the portion of the tangent to the ellipse \( \frac{x^{2}}{16}+\frac{y^{2}}{9}=1 \)
\( \mathrm{P} \) included between the co-ordinate axes is the curve:
(A) \( 9 x^{2}+16 y^{2}=4 x^{2} y^{2} \)
(B) \( 16 x^{2}+9 y^{2}=4 x^{2} y^{2} \)
W
(C) \( 3 x^{2}+4 y^{2}=4 x^{2} y^{2} \)
(D) \( 9 x^{2}+16 y^{2}=x^{2} y^{2} \)
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