# Equation of tangent

#### Equation of tangent to parabola

Equation of tangent to parabola Equation of tangent to parabola $y^2\,=\,4ax$ ant any parametric coordinate p(t)=$p(\,at^2,\,2at)$ where t is a parameter and $t\,\in R$ is given by $yt\,=\,x\,+\,at^2$ . Hence 1/t is the slope of tangent at point P(t). Let m=1/t Hence equation of tangent will be $\frac{y}{m}\,=\,x\,+\,\frac{a}{m^2}$ i.e […]