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 the point (3t,(4)/(t)) to the curve xy=12 cuts the curve again at the point whose parameter t_(1) is given by t_(1)=-(16)/(9t^(3))

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 .

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 .

Find the equation of tangent at the specified point on the following curve : y^(2)=x at the point whose abscissa is double the ordinate

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 the tangent to the parabola y^(2) = 4x at the point t is