A) 5
B) 6
C) 7
D) 8
Correct Answer: C
Solution :
[c] If lines are intersecting, then all the 4 planes will have a common point. Solving planes \[4x+3y-2z+3=0\] \[x-3y+4z+6=0\] and \[x-y+z+1=0\] we get \[x=\frac{-1}{3},\] \[y=-3,\] \[z=-\frac{11}{3}\] This point also lies on the plane \[kx-4y+7z+\text{ }16=0\] \[\therefore \text{ }k=7\]
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