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

For the curve by^(2)=(x+a)^(3) the square of subtangent is proportional to

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

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) .

For the curve x^(3) y^(3)=32 , the length of the subtangent at (2,-2) is

Show that the square of the lengh of the subtangent at any point on the curve by^(2)=(x+a)^(3)( bne0) varies witht the length of the subnormal at that point

On the curve y=f(x) the length of tangent and length of subnormal at (x,y),y!=0, are equal,then square of slope of tangent will be

Prove that for the curve y=be^(x//a) , the subtangent is of constant length and the sub-normal varies as the square of the ordinate .

Prove that for the curve y=be^(x//a) , the subtangent is of constant length and the sub-normal varies as the square of the ordinate .