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The plane passing through the point (4, ...

The plane passing through the point (4, -1, 2) and perallel to the lines `(x+2)/(3)=(y-2)/(-1)=(z+1)/(2)` and `(x-2)/(1)=(y-3)/(2)=(z-4)/(3)` also passes through the point

A

(1, 1, – 1)

B

(–1, – 1, – 1)

C

(–1, – 1, 1)

D

(1, 1, 1)

Text Solution

Verified by Experts

The correct Answer is:
D
Normal vector of plane
`abs({:(hati,hatj,hatk),(3,-1,2),(1,2,3):})`
`=-7hati-7hatj+7hatk`
Let equation of plane be `x+y+z=alpha`
Since it passes through `(4,-1,2)`
`alpha=1`
or `x+y-z=1` Passes through (1, 1, 1)
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