Write the equation of the plane passing through the origin and parallel to the plane 5x - 3y + 7z + 11 = 0.

Question

Philoid · Accepted Answer

Let the equation of plane be

Direction ratios of parallel planes are related to each other as

Putting the values from the equation of a given parallel plane,

Putting in equation plane

As the plane is passing through (0,0,0), it must satisfy the plane,

5kx-3ky + 7kz=0

5x-3y + 7z=0

So, required equation of plane is 5x-3y + 7z=0.