List of top Mathematics Questions on Tangents and Normals asked in IPU CET

If the tangent at (1,1) on \( y^2 = x(2 - x^2) \) meets the curve again at P, then P is:
At what point of the curve \( y^2 = 2x^3 \) is the tangent line perpendicular to the straight line \[ 4x - 3y + 2 = 0? \]