If a variable tan gent to the curve `x^(2)y=c^(3)` makes intercepts p ,q on X and Y-axes respectively then `p^(2)q` is

If a variable tangent to the curve x^(2)y=c^(3) make intercepts a,b on x and y axis respectively.Then the value of a^(2)b is

If the tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 makes intercepts p and q on the coordinate axes, then a^(2)/p^(2) + b^(2)/q^(2) =

If the tangents at any point on the curve x^(4)+y^(4)=a^(4) cuts off intercept p and q on the axes,the value of p^(-(4)/(3))+q^(-(1)/(3)) is

if a variable tangent of the circle x^(2)+y^(2)=1 intersects the ellipse x^(2)+2y^(2)=4 at P and Q. then the locus of the points of intersection of the tangents at P and Q is

The tangent at a variable point P of the curve y=x^(2)x^(3) meets it again at Q. Show that the locus of the middle point of PQ is y=1-9x+28x^(2)-28x^(3)