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Q.

If the straight lines x−12=y+1k=z2 and x+15=y+12=zk are coplanar, then the plane (s) containing these two lines is (are)

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a

y+2z=-1

b

y+z=-1

c

y-z=-1

d

y-2z=-1

answer is B.

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Detailed Solution

For given lines to be coplanar, we should have 2002k252k=0⇒k=±2For k = 2, obviously the plane y+1=z is common in both lines.For k = -2, the plane is given by x−1y+1z2−2252−2=0⇒y+z+1=0
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If the straight lines x−12=y+1k=z2 and x+15=y+12=zk are coplanar, then the plane (s) containing these two lines is (are)