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Q 2389467317.     If the planes `px + 2 y + 2z - 3 = 0` and
`2x - y + z + 2 = 0` intersect at an angle `pi/4` , then
what is the value of `p^2` ?
NDA 2010 Paper 1
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)