Prove that the length of segment of all tangents to curve `x^(2/3)+y^(2/3)=a^(2/3)` intercepted betweern coordina axes Is same

Show that the length of the portion of the tangent to x^(2/3) + y^(2/3) = a^(2/3) intercepted between the axes is constant.

The portion of the tangent of the curve x^(2/3)+y^(2/3)=a^(2/3) ,which is intercepted between the axes is (a>0)

Show that the lenght of the portion of the tangent to the curve x^(2/3)+y^(2/3)=a^(2/3) at any point of it, intercept between the coordinate axes is contant.

The segment of the tangent to the curve x^(2/3)+y^(2/3)=16 ,contained between x and y axes, has length equal to

Show that the length of the portion of the tangent to the curve x^((2)/(3))+y^((2)/(3))=4 at any point on it,intercepted between the coordinate axes is constant.

Show that the length of the portion of the tangent to the curve x^((2)/(3))+y^((2)/(3))=4 at any point on it, intercepted between the coordinate axis in constant.

The length of the tangent of the curve y=x^(3)+2 at (1 3) is