A tangert to the ellipse \( \frac{\mathrm{x}^{2}}{\mathrm{a}^{2}}+\...

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A tangert to the ellipse \( \frac{\mathrm{x}^{2}}{\mathrm{a}^{2}}+\frac{\mathrm{y}^{2}}{\mathrm{~b}^{2}}=1 \) touches at the point \( \mathrm{P} \) on it in the first quadrant \& meets the
\( \mathrm{P} \) coordinate axes in \( \mathrm{A} \& \mathrm{~B} \) respectively. If \( \mathrm{P} \) divides \( \mathrm{AB} \) in the ratio \( 3: 1 \) reckoning from the \( \mathrm{x} \)-axis find the

W equation of the tangent.
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