If a point P α , β , γ satisfying α β γ 2 10 8 9 3 8 8 4 8 = 0 0 0 lies on the plane 2 x + 4 y + 3 z = 5 , then 6 α + 9 β + 7 γ is equal to

Step-by-step solution

Given, α β γ 2 10 8 9 3 8 8 4 8 = 0 0 0 ⇒ 2 α + 9 β + 8 γ 10 α + 3 β + 4 γ 8 α + 8 β + 8 γ = 0 0 0 Now on comparing both side we get, 2 α + 2 β + 8 γ = 0                 … 1 10 α + 3 β + 4 γ = 0                   … 2 8 α + 8 β + 8 γ = 0                   … 3 No