Parabolas \( y^{2}=4 a\left(x-c_{1}\right) \) and \( x^{2}=4 a\left...

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Parabolas \( y^{2}=4 a\left(x-c_{1}\right) \) and \( x^{2}=4 a\left(y-c_{2}\right) \), where
\( \mathrm{P} \) \( c_{1} \) and \( c_{2} \) are variable, are such that they touch each

W other. The locus of their point of contact is:
(1) \( x y=2 a^{2} \)
(2) \( x y=4 a^{2} \)
(3) \( x y=a^{2} \)
(4) None of these
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