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.

Tangent at any point of the curve (x/a)^(2//3)+(y/b)^(2//3)=1 makes intercepts x_1 and y_1 on the axes. Then

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 (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

The portion of the tangent drawn at any point on x^(2//3)+y^(2//3)=a^(2//3)(agt0) , except the points points on the coordinate axes, included between the the coordinates axes is

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=