Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaNormal to ParabolaEasy2 minQB

MathematicsEasyinteger

If $x + y = k$ is normal to $y^{2} = 12 x$ , then $k$ is

Answer:

Solution:

Equation of normal of the parabola $y^{2} = 12 x$ is $y = m x - 2 am - a m^{3}$ Where $a = 3$ $\Rightarrow y = m x - 6 m - 3 m^{3}$ ..........(1)

Given $y = - x + K$ ................(2)

By comparing: $m = - 1, K = - 6 m - 3 m^{3}$

$K = - 6 (- 1) - 3 (- 1)^{3}$

$= 6 + 3 = 9$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Normal to Parabola

⏱ 2mℹ️ Source: QB

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