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Tangents are drawn to the ellipse x^2 + 2y^2 = 2, then the locus of the mid point

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Tangents are drawn to the ellipse x2 + 2y2 = 2, then the locus of the mid point of the intercept made by the tangents between the coordinate axes is

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Correct option (a)

Explanation :

whose intercept on coordinate axes are

Mid point of its intercept between axes

Thus, locus of mid point M is

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