which of the following lines lie on the plane x+ 2y - z + 4= 0?
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a
x−11=y−1=z−5−1
b
x-y+z=2x+y-z=0
c
r→=2i^−j^+4k^+λ(3i^+j^+5k^)
d
none of these
answer is A.
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Detailed Solution
For line x−11=y−1=z−5−1 point (1, 0, 5) lies on 1-1-ln^n the plane .Also, the vector along the line i^+j^+k^ is perpendicular to the normal i^+2j^-k to the plane. For line r→=2i^−j^+4k^+λ(3i^+j^+5k^) point (2, -1,4) lies on the plane and vector 3i^+j^+5k^ is perpendicular to the normal i^+2j^−k^Line x - y + z = 2x + y - z= 0 passes through the origin, which is not on the given plane.