If the tangent at the point (a,b) on the curve `x^(3)+y^(3)=a^(3)+b^(3)` meets the curve again at the point (p,q) then show that `bp+aq+ab=0`

If the tangent at the point (at^(2),at^(3)) on the curve ay^(2)=x^(3) meets the curve again at

If the tangent at the point (at^2,at^3) on the curve ay^2=x^3 meets the curve again at Q , then q=

IF the tangent at a point on the curve x^(2//3)+y^(2//3)=a^(2//3) intersects the coordinate axes in A and B then show that the length AB is a constant.

IF the tangent at any point P on the curve x^my^n=a^(m+n) , mn ne 0 meets the coordinate axes in A.B then show that AP:BP is a constant.

If the tangent at any point on the curve x^(1//3)+y^(1//3)=a^(1//3)(agt0) cuts of intercepts p and q on the coordinate axes then sqrt(p)+sqrt(q) =

At the point (2,3) on the curve y = x^(3) - 2x + 1 , the gradient of the curve increases