Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaNormal to ParabolaMedium2 minQB

MathematicsMediuminteger

If $2 x + 3 y = α, x - y = β$ and $k x + 15 y = r$ are 3 consecutive normal's of parabola $y^{2} = λ x$ then value of k is

Answer:

Solution:

$t_{1} + t_{2} + t_{3} = 0 \Rightarrow (\frac{- 2}{3}) + 1 + (\frac{- k}{15}) = 0$ $\Rightarrow \frac{k}{15} = \frac{1}{3} \Rightarrow k = 5$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Normal to Parabola

⏱ 2mℹ️ Source: QB

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