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The equation of the curve whose subnormal is constant is

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The equation of the curve whose subnormal is constant is
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
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Correct Answer - 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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