Light on a plane

Geometry Level pending

Q. A uniform point-source is located at a point (0,0,-a) in the space. If the luminous flux, intercepted by a plane bounded by the straight lines x=±∞ & y=±6 [∀ |a|>0], is 1⁄3 of the total flux emitted by the source then the value of a is equal to

√3 4√3 3√3 2√3

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