Let 
and 
be real numbers such that the system of linear equation
x + 2y+3z = 
4x + 5y + 6z = 
7x + 8y + 9z = 
- 1
is consistent. Let |M| represent the determinant of the matrix
Let P be the plane containing all those 
for which the above system of linear equations is consistent, and D be the square of the distance of the point (0, 1, 0) from the plane P.
(i) The value of D is_____
Text Solution
Verified by Experts1.5
(1.5)
x + 2y+3z = 
.....(1)
4x + 5y+6z = 
.....(2)
7x + 8y+9z = 
-1 .....(3)
Equation (1) + (3) - (2) = 0. Equation (2) provides
Plane Pisx-2y + z-l=0
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