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

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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The correct Answer is:

`bx + asqrt3y =2ab`

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