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Question

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


  1. x2 : y

  2. 1 : 1

  3. 2 : 1

  4. x : y


Solution

The correct option is C

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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