Equation of the Chord of the Parabola Which is Bisected at a Given Point
Category : JEE Main & Advanced
The equation of the chord at the parabola \[{{y}^{2}}=4ax\] bisected at the point \[({{x}_{1}},{{y}_{1}})\] is given by \[T={{S}_{1,}}\]
i.e., \[y{{y}_{1}}-2a(x+{{x}_{1}})\]\[y{{y}_{1}}-2a(x+{{x}_{1}})=y_{1}^{2}-4a{{x}_{1}}\] where \[T=y{{y}_{1}}-2a(x+{{x}_{1}})\] and \[{{S}_{1}}=y_{1}^{2}-4a{{x}_{1}}\].
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