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For the equation of the curve whose subn...

For the equation of the curve whose subnormal is constant then,

A

its eccentricity is 1

B

its eccentricity is `sqrt(2)`

C

its axis is the x-axis

D

its axis is the y-axis

Text Solution

Verified by Experts

The correct Answer is:
B
We have `y(dy)/(dx)=k` (constant)
or `ydy=kdx` or `y^(2)/2=kx+C` or `y^(2)=2kx+2C`
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