Let \( y=f(x) \) and \( y=g(x) \) be the pair of curves such that
(i) the tangents at point with... VIDEO
Let \( y=f(x) \) and \( y=g(x) \) be the pair of curves such that
(i) the tangents at point with equal abscissa intersect on \( y \)-axis
(ii) the normals drawn at points with equal abscissa intersect on \( x \)-axis and
(iii) the curve \( f(x) \) passes through \( (1,1) \) and \( g(y) \) passes through \( (2,3) \) then
The curve \( g(x) \) is given by-
(a) \( x-\frac{1}{x} \)
(b) \( x+\frac{2}{x} \)
(c) \( x^{2}-\frac{1}{x^{2}} \)
(d) \( \frac{2}{x}-x \)
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