Application of DerivativeHard
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
equation of normal (y - an) =
(x - a)∴ b =
+ an ⇒ n = 2Create a free account to view solution
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