What is the equation of the plane passing through the line 3x+y-5z=2=x-2y+3z and perpendicular to the plane x-y+z=3?

JEE Advanced Mathematics question

What is the equation of the plane passing through the line and perpendicular to the plane ?

Answer: (C)

The line is . Planes through it have the form , with normal . Perpendicular to means the normals are perpendicular:

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Question ID VK-109874