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A tangent to the ellipse x^2 / a^2 + y^2...

A tangent to the ellipse `x^2 / a^2 + y^2 / b^2 = 1` touches at the point P on it in the first quadrant & meets the coordinate axes in A & B respectively. If P divides AB in the ratio `3: 1` reckoning from the x-axis find the equation of the tangent.

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