The correct option is C the slope of normal drawn to the curve at (3,1) is −3
Given equation is homogeneous
Putting y=vx in the given equation and differentiating both sides, we get
dydx=yx and d2ydx2=0
(dydx)(3,1)=13
∴(2dydx−5d2ydx2)(3,1)=23
Slope of normal is −3