The equation of tangent at point whose parameter is t

The equation of normal at point whose parameter is t

Show that the normal at a point (at^2_1, 2at_1) on the parabola y^2 = 4ax cuts the curve again at the point whose parameter t_2 = -t_1 - 2/t_1 .

The Cartesian equation of the curve whose parametric equations are x=t^(2)+2t+3 " and " y=t+1 " is a parabola "(C)" then the equation of the directrix of the curve 'C' is.(where t is a parameter)

The Cartesian equation of the curve whose parametric equations are x=t^(2) +2t+3 and y=t+1 is a parabola (C) then the equation of the directrix of the curve 'C' is.(where t is a parameter)

The equation of curve whose tangent at any point on it different form origin has slope y+(y)/(x) , is

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

Equation of tangent at a point | Equation of tangent from a point | Angle between tangents