Application of DerivativeHard

Question

The abscissa of the point on the curve √xy = a + x, the tangent at which cuts off equal intercepts from the co-ordinate axes is (a > 0)

Options

A.
B.
C.a√2
D.-a√2

Solution

y = ⇒ y = + 2a + x
+ 1 = - 1 (for equal intercepts)
x2 = ⇒ x = ±

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