Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaNormal to ParabolaEasy2 minQB

MathematicsEasysingle choice

If the normal to the parabola $y^{2} = 4 a x$ at $(a t^{2}, 2 a t)$ cuts the parabola again at $(a T^{2}, 2 a T)$ then

Answer:

Solution:

$T = - t - \frac{2}{t}$

$∣ T ∣ = t + \frac{2}{t} \geq 22 T^{2} \geq 8$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Normal to Parabola

⏱ 2mℹ️ Source: QB

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