If the tangent at `(x_1,y_1)` to the curve `x^3+y^3=a^3` meets the curve again in `(x_2,y_2),` then prove that `(x_2)/(x_1)+(y_2)/(y_1)=-1`

If the tangent at (x_(1),y_(1)) to the curve x^(3)+y^(3)=a^(3) meets the curve again in (x_(2),y_(2)), then prove that (x_(2))/(x_(1))+(y2)/(y_(1))=-1

If the tangent at (x_(1),y_(1)) to the curve x^(3)+y^(3)=a^(3) meets the curve again at (x_(2),y_(2)) , then (x_(2))/(x_(1))+(y_(2))/(y_(1)) is equal to

If the tangent at (x_(0),y_(0)) to the curve x^(3)+y^(3)=a^(3) meet the curve again at (x_(1)y_(1)) prove that (x_(1))/(x_(0))+(y_(1))/(y_(0))=-1

If the tangent at (x_0,y_0) to the curve x^3+y^3=a^3 meets the curve again at (x_1,y_1) then x_1/x_0+y_1/y_0 is equal to :

If the tangent at (x_(0),y_(0)) to the curve x^(3)+y^(3)=a^(3) meets the curve again at (x_(1),y_(1)) , then (x_(1))/(x_(0))+(y_(1))/(y_(0)) is equal to

If the tangent at (x_(0),y_(0)) to the curve x^(3)+y^(3)=a^(3) meets the curve again at (x_(1),y_(1)) , then (x_(1))/(x_(0))+(y_(1))/(y_(0)) is equal to

If the tangent at (1, 1) on y^2 =x (2-x)^2 meets the curve again at P then P is

If the tangent to the curve x^(3)+y^(3)=a^(3) at the point (x_(1),y_(1)) intersects the curve again at the point (x_(2),y_(2)) , then show that, (x_(2))/(x_(1))+(y_(2))/(y_(1))+1=0 .