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 the plane.Also, the vector along the line i^-j^-k^ is perpendicular to the normal i^+2j^-k^ to the plane.For liner→=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.