Consider the curved mirror \( y=f(x) \) passing through \( (0,6) \)...

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Consider the curved mirror \( y=f(x) \) passing through \( (0,6) \) having the property that all light rays emerging from origin, after getting reflected from the mirror becomes parallel to \( x \)-axis, then the equation of curve, is
\( \mathrm{P} \)
(a) \( y^{2}=4(x-y) \) or \( y^{2}=36(9+x) \)
(b) \( y^{2}=4(1-x) \) or \( y^{2}=36(9-x) \)
(c) \( y^{2}=4(1+x) \) or \( y^{2}=36(9-x) \)
(d) None of these
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