Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaNormal to ParabolaMedium2 minQB

MathematicsMediuminteger

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 $a = 3$ $\Rightarrow y = m x - 6 m - 3 m^{3}$ Given $y = - x + K$ 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

Doubts & Discussion

Loading discussions...