For the parabola y2=4 a x the ratio of the sub-tangent

For the parabola $y^{2} = 4 a x$ , the ratio of the sub-tangent to the abcissa is

1 : 1

2 : 1

x : y

$x^{2} : y$

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

We have, $y^{2} = 4 a x$
$\Rightarrow 2 y \frac{d y}{d x} = 4 a \Rightarrow \frac{d y}{d x} = \frac{2 a}{y} . S u b - t a n g e n t = \frac{y}{d y / d x} = \frac{y}{2 a / y} = \frac{y^{2}}{2 a} = \frac{4 a x}{2 a} = 2 x .$
$∴$ Sub - tangent : Abcissa = 2x : x = 2 : 1,
Hence (b) is the correct answer.

For the parabola y2=4 a x the ratio of the sub-tangent

Right Answer is: B

SOLUTION

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