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QJEEM20Ma5980: JEE Main 2020 Mathematics - Class 11 JEEM20Ma5980 Solution: The locus of a point which divides the line segment joining the …

The locus of a point which divides the line segment joining the point (0, –1) and a point on the parabola, x² = 4y, internally in the ratio 1 : 2, is :

Multiple Choice Options

A 9x2 – 3y = 2
B 4x2 – 3y = 2
C x2 – 3y = 2
D 9x2 – 12y = 8

Step-by-Step Verified Solution

JEE Main 2020 (Online) 8th January Morning Slot Mathematics - Parabola Question 92 English Explanation

Take point P(2t, t² ) on parabola x² = 4y

h =

\frac{2 t + 0}{3}

and k =

\frac{t^{2} - 2}{3}

\Rightarrow

t =

\frac{3 h}{2}

and 3k + 2 = t²

∴

3k + 2 =

\frac{9 h^{2}}{4}

\Rightarrow

9x² – 12y = 8

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