NIMCET 2012 Question Paper with solutions

The equation of the plane passing through the point(1, 2, 3) and having the vector N = 3i - j + 2k as its normal is
3 (x - 1) - 1 (y - 2) + 2 (z - 3) = 0
⇒ 3x - y + 2z + (- 3 + 2 - 6) = 0
⇒ 3x - y + 2z = 7