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Q.

Let x+y+3z4=0,x+2y+bz5=0 and 2x+ay+6z8=0 be three planes, then

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a

three planes intersect at a point if a2,b3

b

three planes do not have any common point of intersection if a2,b=3

c

three planes have infinite points common among them if a=2,bR

d

three planes never intersect at exactly two distinct points

answer is A, B, C, D.

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Detailed Solution

Unique solution if a2 and b3No solution if a2 and b = 3Infinite solution if a=2,bR.

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