Equation of a Plane Passing through Three Points

Q.

Let P be the image of the point (3, 1, 7) with respect to the plane x - y + z = 3. Then, the equation of the plane passing through P and containing the straight line $\frac{x}{1}=\frac{y}{2}=\frac{z}{1}$ is

1. x + y - 3z = 0

2. 3x + z = 0

3. x - 4y + 7z = 0

4. 2x - y = 0

Q.

Find the equation of plane passing through the points P (1, 1, 1) , Q (3, -1, 2) and R (-3, 5 , -4).

1. 6x + 16y +16z - 44 = 0

2. x - 2y +16z - 13 = 0

3. 6x + 6y +16z - 28 = 0

4. x + 6y +6z - 22 = 0

Q. Determine the coordiantes of the centre of a circle whose diameter has endpoints (4;-1) and (-6;7)