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CGP EDU Academic Team
Published on: August 13, 2026
If the planes x - cy -bz = 0, cx - y + az = 0 and bx + ay- z = 0 pass through a straight line, then the value of a 2 + b 2 + c 2 + 2abc is
Text Solution
Verified by ExpertsThe correct answer is:
1
1
Given planes are:
x-cy-bz=0…(i)
cx - y + az = 0 ...(ii)
bx + ay- z = 0 ...(iii)
Equation of the plane passing through the line of intersection of the plane (i) and (ii) may be taken as:
(x-cy- bz) + 
(cx - y + az) = 0
or x (1 + 
c) - y (c + 
) + z (-b + a 
) = 0 ...(iv)
If plane (iii) and (iv) are the same, then
or 
and 
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