Application of DerivativeMedium

Question

At the point P(a, an) on the graph of y = xn(n ∈ N) in the first quadrant a normal is drawn. The normal intersects the y-axis at the point (0,b), If lim a → 0  b= 1/2, then n equals -

Options

A.1
B.3
C.2
D.4

Solution

y = xn ⇒ y′ = nxn-1
equation of normal (y - an) = (x - a)
∴    b = + an
⇒ n = 2

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