Application of DerivativeMedium

Question

The length of subnormal at any point to the parabola y2 = 4ax is-

Options

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

Solution

y2 = 4ax and any point be (x1, y1) slope of tangent at (x1, y1) is

∴ length of subnormal is    ⇒ y1.
⇒  y1 . ⇒ 2a

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