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The locus of a point which divides the line segment joining the point \( (0,-1) \) and a point on the parabola, \( x^{2}…

Q1

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:

[JEE Main 2020, 8 Jan (Shift 1)]

a

\( 9 x^{2}-3 y=2 \)

b

\( 4 x^{2}-3 y=2 \)

c

\( x^{2}-3 y=2 \)

d

\( 9 x^{2}-12 y=8 \)

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