Q.

The nature of the intersection of the set of planes x + ay + (b + c) z + d= 0, x + by +(c + a)z + d -0 and x+ cy + (a+b)z +d=0?

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a

They meet at a point

b

They form a triangular prism

c

They pass through a line

d

They arc 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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The nature of the intersection of the set of planes x + ay + (b + c) z + d= 0, x + by +(c + a)z + d -0 and x+ cy + (a+b)z +d=0?