Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaNormal to ParabolaEasy2 minQB

MathematicsEasysingle choice

PN is the ordinate of any point P on $y^{2} = 4 x$ . The normal at P to the curve meets the axis at G, then

Answer:

Solution:

Let P be $(t^{2}, 2 t)$ , then the normal at P , is $y + tx = 2 t + t^{3}$ which meets x -axis at $G (2 + t^{2}$ , $0)$ . Now as N is $(t^{2}, 0)$ .]

$∴ NG = 2$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Normal to Parabola

⏱ 2mℹ️ Source: QB

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