What is the nature of the intersection of the set of planes x+ay+(b+c)z+d=0,x+by+(c+a)z+d=0 andx+cy+(a+b)z+d=0?

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They meet at a point

They form a triangular prism

They pass through a line

They are at equal distance from the origin

answer is C.

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Detailed Solution

1 a b+c1 b c+a1 c a+b=1 a a+b+c1 b a+b+c1 c a+b+c=0

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