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Equation of the plane containing the straight line `(x)/(2)= (y)/(3)= (z)/(4)` and perpendicular to the plane containing the straight lines `(x)/(3)= (y)/(4)= (z)/(2) and (x)/(4) = (y)/(2) = (z)/(3)` is

A

`x - 2y + z = 0`

B

`5x + 2y - 4z = 0`

C

`x + 2y - 2z = 0`

D

`3x + 2y - 3z = 0`

Text Solution

Verified by Experts

The correct Answer is:
A
The vector perepndicular to the plane :
`|(veci,j,hatk),(3,4,2),(4,2,3)|=veci(8)-j-10hatk`
The vector perpendicular to the plane to be found out
`|(veci,j,hatk),(8, -1, -10),(2,3,4)|=veci+30-j(32+20)+hatk(24+2)=26hati-52hatk+26k or -j+hatk`
Therefore, the plane is `x(1)+y(-2)+z(1)=0`
`x-2y+z=0`
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