Question

Length of subnormal at x=a on the parabola y2=16x is

Answer 1

y^2=16x
diff..w.r.t.x
2ydy/dx=16
dy/dx=8/y
length of s.n=ym
=y(8/y)=8 const

Answer 2

Answer:

The answer is 8

Explanation:

Given: Length of subnormal at $x=a$ on the parabola $y^{2} =16x$

Find the value.

Solution: According to the question

$y^{2} =16x$

differentiate w.r.t $x$

$2y\frac{dy}{dx} =16\\\\\frac{dy}{dx} =\frac{16}{2y}$

Length of $S.n=ym$

$y\frac{8}{y} =8 constt$

Hence, the value is 8 constant

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