Application of DerivativeHard

Question

The angle of intersection of the curves 2y = x3 and y2 = 32x at origin is -

Options

A.π/6
B.π/3
C.π/2
D.π/4

Solution

2y = x3  ⇒   x2 = 0
y2 = 32x ⇒ 2y = 32 ⇒ → ∞
Angle between the curves is π / 2

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