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 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 (a,b) on the curve x^(3)+y^(3)=a^(3)+b^(3) meets the curve again at the point (p,q) then 1) ab+pq=0 2) bq+ab+ap=0 3) bp+aq+ab=0 4) bq+pq+ap=0

If the tangent at the point (p,q) to the curve x^(3)+y^(2)=k meets the curve again at the point (a,b), then

If the tangent at (16,64) on the curve y^(2) = x^(3) meets the curve again at Q(u, v) then uv is equal to_____

The tangent at (t,t^(2)-t^(3)) on the curve y=x^(2)-x^(3) meets the curve again at Q, then abscissa of Q must be

If the tangent at P(1,1) on the curve y^(2)=x(2-x)^(2) meets the curve again at A , then the points A is of the form ((3a)/(b),(a)/(2b)) , where a^(2)+b^(2) is

If the tangent at P(1,1) on the curve y^(2)=x(2-x)^(2) meets the curve again at A , then the points A is of the form ((3a)/(b),(a)/(2b)) , where a^(2)+b^(2) is

If tangent at point P(a,b) to the curve x^3+y^3=c^3 meet the curve agins at Q(a_1, b_1) then (a_1)/a +b_1/b=