Equation of a tangent line of the parabola $y^2=8 x$, which passes through the point $(1,3)$ is

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Aicharya · Accepted Answer

Equation of tangent to parabola $y^2=8 x$ is $y=m x+\frac{2}{m}$ It passes through $(1,3)$ $\Rightarrow 3=m+\frac{2}{m} \Rightarrow m=1,2$ $	herefore$ Tangents are $y=x+2$ and $y=2 x+1$

Equation of a tangent line of the parabola $y^2=8 x$, which passes through the point $(1,3)$ is

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