jee-main 2021 Q66

jee-main · India · session1_24feb_shift1 Conic sections Locus and Trajectory Derivation

The locus of the mid-point of the line segment joining the focus of the parabola $y ^ { 2 } = 4 a x$ to a moving point of the parabola, is another parabola whose directrix is:
(1) $x = a$
(2) $x = 0$
(3) $x = - \frac { a } { 2 }$
(4) $x = \frac { a } { 2 }$

The locus of the mid-point of the line segment joining the focus of the parabola $y ^ { 2 } = 4 a x$ to a moving point of the parabola, is another parabola whose directrix is:\\
(1) $x = a$\\
(2) $x = 0$\\
(3) $x = - \frac { a } { 2 }$\\
(4) $x = \frac { a } { 2 }$

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