If the straight lines x=1+s,y=−3−λs,z=1+λs and x=t2,y=1+t,z=2−t , with parameters s and t, respectively, are co-planar, then λ equals
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a
−1/2
b
−1
c
−2
d
0
answer is C.
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Detailed Solution
Given lines arex=1+s,y=−3−λs,z=1+λsi.e., x−11=y+3−λ=z−1λ ..(1)And x=t2,y=1+r,z=2−ti.e., x−01=y−12=z−2−2 ..(2)Lines (1) and (2) are coplanar,⇒1−0−3−11−21−λλ12−2=0⇒−5λ−10=0⇒λ=−2.