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A curve passing through (1, 0) such that the ratio of the square of the intercept cut by any tangent off the y-axis to the subnormal is equal to the ratio of the product of the co-ordinates of the point of tangency to the product of square of the slope of the tangent and the subtangent at the same point. Determine all such possible curves. Let y = f(x) and y = g(x) be the pair of curves such that(i) the tangents at point with equal abcissae intersect on y-axis(ii) the normals drawn at points with equal abscissae intersect on x-axis and(iii) curve f(x) passes through (1, 1) and g(x) passes through (2, 3) then

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ANSWER :`X = E^(2sqrty/x); x=e^(-2sqrty/x)


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