If the tangent at `(1,1)` on `y^2=x(2-x)^2` meets the curve again at `P ,` then find coordinates of `P`.

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

Tangent at P(2,8) on the curve y=x^(3) meets the curve again at Q. Find coordinates of Q.

If the tangent at a point P with parameter t , on the curve x=4t^2+3 , y=8t^3-1 t in R meets the curve again at a point Q, then the coordinates of Q are

If the tangent at a point P with parameter t , on the curve x=4t^2+3 , y=8t^3-1 t in R meets the curve again at a point Q, then the coordinates of Q are

If the tangent at a point P with parameter t , on the curve x=4t^2+3 , y=8t^3-1 t in R meets the curve again at a point Q, then the coordinates of Q are

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)+(y_2)/(y_1)=-1

If the tangent to the curve 4x^(3)=27y^(2) at the point (3,2) meets the curve again at the point (a,b) . Then |a|+|b| is equal to -

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

The tangent drawn from the origin to the curve y=2x^2+5x+2 meets the curve at a point whose y-coordinate is negative. Find the area if the figure is bounded by the tangent between the point of contact and origin, the x-axis and the parabola.