For equation of the curve whose subnorma...

For equation of the curve whose subnormal is constant, then (a) its eccentricity is 1 (b) its eccentricity is `( c ) (d)sqrt(( e )2( f ))( g ) (h)` (i) (j) its axis is the x-axis (k) its axis is the y-axis.

its eccentricity is 1

its eccentricity is `sqrt(2)`

its axis is the x-axis

its axis is the y-axis

Text Solution

Verified by Experts

The correct Answer is:

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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