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Question

Mathematics Question on Linear Equations

Let the system of linear equations
-x+2y-9z=7
-x+3y+72=9
-2x+y+5z=8
-3x+y+13z = λ
has a unique solution x=α, y=β, z=γ. Then the distance of the point (α, β, γ) from the plane 2x-2y+z=λ is

A

7

B

9

C

11

D

13

Answer

7

Explanation

Solution

The correct option is(A): 7