The normal to a given curve at each point (x, y) on the curve passes through the point (3, 0). If the curve contains the point (3, 4), find its equation.
Given the equation of normal at point (x,y) on the curve
∴ 
Now, the curve passes through (3,0)
Integrating both sides
It also passes through (3,4),so
Putting the value of c in equation(1)
26