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The equation of a plane through the poin...

The equation of a plane through the point `(2, 3, 1)` and `(4, -5, 3)` and parallel to x-axis

A

`x+y+4z=7`

B

`x+4z=7`

C

`y=4z=7`

D

`y+4z=7`

Text Solution

Verified by Experts

The correct Answer is:
D
We know that, the equation of a plane parallel to X-axis is
by+cz+d=0
Since, it passes trough the points (2,3,1) and (4,-5,3)
`:." "3b+c+d=0and-5b+3c+d=0`
`rArr" "(b)/(1-3)=(c)/(-8)=(d)/(14)rArr(b)/(-2)=(c)/(-8)=(d)/(14)`
`:.` Equation of plane is `=2y-8z+14=0`
`rArr" "y+4z=7`
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