3D Coordinate Geometry Mock Tests

The equation of the plane passing through the line of intersection of the planes x + y + z = 1 and x - y + z = 0 and passing through the point (2, 1, 0) is:

The direction cosines of the line passing through (0, 0, 0) and (3, 4, 0) are:

The distance between the points (1, 2, 3) and (4, 6, 3) in 3D space is:

The shortest distance between the point (1, 2, 3) and the line r = (2î − ĵ + k̂) + t(î + 2ĵ − k̂) is:

The direction cosines of the line passing through points (0, 0, 0) and (3, 0, 4) are:

The equation of the plane passing through (1, -1, 2) and perpendicular to the vector 2i + j - k is:

The equation of the plane passing through the points (1, 0, −1), (2, 1, 0), and (0, 1, 1) is:

The distance of the plane 3x + 4y = 60 from the origin is: