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Let M and N are feet of perpendiculars f...

Let M and N are feet of perpendiculars from P to x-z and x-y plane respectibely. If OP makes `theta, alpha, beta, gamma`with
plane OMN and the co-ordinate planes respectively such that `7 + cot^(2)theta= cot^(2) alpha + cot^(2) beta + cot^(2) gamma +k` , then
find k.

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