For the curve $y = a 1 n (x^{2} - a^{2})$ , show that the sum of length of tangent and sub-tangent at any point is proportional to product of coordinates of point of tangency.

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For the curve

y = a 1 n (x^{2} - a^{2})

, show that the sum of length of tangent and sub-tangent at any point is proportional to product of coordinates of point of tangency.

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Question Text

For the curve

y = a 1 n (x^{2} - a^{2})

, show that the sum of length of tangent and sub-tangent at any point is proportional to product of coordinates of point of tangency.

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