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Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaGeneralHard2 minPYQ_2020

MathematicsHardsingle choice

The locus of a point which divides the line segment joining the point $(0, - 1)$ and a point on the parabola $x^{2} = 4 y$ internally in the ratio $1 : 2$ is:

Options:

Answer:

A

Solution:

Let point $P$ be $(2 t, t^{2})$ and $Q$ be $(h, k)$ .
$h = \frac{2 t}{3}, k = \frac{- 2 + t^{2}}{3}$
Hence, locus is $3 k + 2 = {(\frac{3 h}{2}) s}^{2} \Rightarrow 9 x^{2} = 12 y + 8$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:General

⏱ 2mℹ️ Source: PYQ_2020

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