" If "x^((2)/(3))+y^((2)/(3))=a^((2)/(3))

x^((2)/(3))+y^((2)/(3))=10^((2)/(3))

If x^((2)/(3) ) +y^((2)/(3))=10^((2)/(3)) ,then (dy)/(dx)=

Find the derivatives w.r.t. x : x^((2)/(3))+y^((2)/(3))=a^((2)/(3))

Prove that the equation of the normal to x^((2)/(3))+y^((2)/(3))=a^((2)/(3)) is y cos theta-x sin theta=a cos2 theta where theta is the angle which the normal makes with the axis of x.

If p_(1) and p_(2) be the lengths of the perpendiculars from the origin upon the tangent and normal respectively to the curve x^((2)/(3)) +y^((2)/(3)) = a^((2)/(3)) at the point (x_(1), y_(1)) , then-

Find the equation of the tangent to the curve x^((2)/(3))+y^((2)/(3))=a^((2)/(3)) at the point (alpha,beta)

If the normal at the point P(theta) of the curve x^((2)/(3))+y^((2)/(3))=a^((2)/(3)) passes through the origin then

Orthogonal trajectories of family of the curve x^((2)/(3))+y^((2)/(3))=a^(((2)/(3))), where a is any arbitrary constant,is

Find the area of the region bounded by the asteroid x^((2)/(3))+y^((2)/(3))=a^((2)/(3))