Equation of Pair of Tangents From a Point to a Parabola
Category : JEE Main & Advanced
The combined equation of the pair of the tangents drawn from a point to a parabola is \[SS'={{T}^{2}}\], where \[S={{y}^{2}}-4ax;\] \[S'=y_{1}^{2}-4a{{x}_{1}}\] and \[T=y{{y}_{1}}-2a(x+{{x}_{1}})\].
The two tangents can be drawn from a point to a parabola. The two tangent are real and distinct or coincident or imaginary according as the given point lies outside, on or inside the parabola.
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