Application of DerivativeHard
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
∴ length of subnormal is ⇒ y1.
⇒ y1 .
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