Radius of curvature of the curve `x^2/3 + y^2/3 = a^2/3​`

The radius of curvature of the curve y^2=4x at the point (1, 2) is

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)

The equation of normal to the curve, x^(2//3)+y^(2//3)=a^(2//3) at the point (a,0) is

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

The number of tangents to the curve x^(2//3)+y^(2//3)=a^(2//3) which are equally inclined to the axes is

The tangent lines at (a,0),(0,a) on the curves x^(2/3)+y^(2/3)=a^(2/3) include an angle

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

At (0,0) the curve y^2=x^3+x^2

Area bounded by the curve x^(2/3)+y^(2/3)=a^(2/3) with bar(OX),bar(OY) is