Let \(P\) be any point on the curve \(x^{2/3}+y^{2/3}=a^{2/3}\). Then, what would be the length of the segment of the tangent between the coordinate axes?
Show Hint
A fundamental property of the astroid \(x^{2/3}+y^{2/3}=a^{2/3}\) is that the length of the tangent intercepted between the coordinate axes is always constant and equal to \(a\).