\( P_{1}: y^{2}-4 a x=0, P_{2}: y^{2}+4 a x=0 \) \( P_{3}: x^{2}-4 ...

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\( P_{1}: y^{2}-4 a x=0, P_{2}: y^{2}+4 a x=0 \)
\( P_{3}: x^{2}-4 a y=0, P_{4}: x^{2}+4 a y=0 \) are four parabolas.
Latus rectums of the four parabolas enclose a square of area (in sq. units)
(a) \( a^{2} \)
(b) \( 2 a^{2} \)
(c) \( 4 a^{2} \)
(d) \( 16 a^{2} \)
\( \mathrm{P} \)
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