Show that at any point (x,y) on the curve `y=b^((x)/(a))`, the length of the subtangent is a constant and the length of the subnormal is `(y^(2))/(a)`.

If at any point on the curve y=f(x) , the length of the subnormal is constant, then the curve will be a

For the curve y^2=(x+a)^3 , the square of the subtangent is ….. Subnormal

If at any point (x_1, y_1) on the curve y=f(x) the lengths of the subtangent and subnormal are equal, then the length of the tangent drawn to that curve at that point is

The curve y^2=(x+a)^3 , the square of the subtangent is ..... Subnormal

The length of subtangent to y=be^(x//a) at any point is

The length of subtangent to x^2y^2=a^4 at (a,a) is

At any point t on the curve x=a(t+sint),y=a(1-cost) find the lengths of tangent and normal.