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Question

For the parabola y2=4 a x, the ratio of the sub-tangent to the abcissa is


A

1 : 1

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B

2 : 1

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C

x : y

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D

x2:y

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Solution

The correct option is B

2 : 1


We have, y2=4ax
2ydydx=4adydx=2ay.Subtan gent=ydy/dx=y2a/y=y22a=4ax2a=2x.
Sub - tangent : Abcissa = 2x : x = 2 : 1,
Hence (b) is the correct answer.


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