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

A tangent of the ellipse `x^2//a^2 + y^2//b^2 = 1` cuts the axes in A and B respectively and touches the ellipse at any point P in the first quadrant, so that P divides AB into two equal parts. The equation of the tangent is............. .

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The correct Answer is:
`bx + ay = sqrt(2) ab`
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