Three-Dimensional Geometry
Coordinates of a point in space; distance between two points; section formula; direction ratios and direction cosines; angle between two intersecting lines; skew lines; shortest distance between them and its equation; equations of a line and a plane in different forms; intersection of a line and a plane; coplanar lines.
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Take a full mock →Q1 · Three-Dimensional Geometry · EASY
A line passes through the point (2, -1, 3) and has direction ratios proportional to 3, -1, 2. The Cartesian equation of the line is:
Q2 · Three-Dimensional Geometry · MEDIUM
The angle between the line (x-1)/2 = (y-2)/1 = (z+3)/(-2) and the plane 2x + y - 2z = 5 is:
Q3 · Three-Dimensional Geometry · MEDIUM
The distance of the point (2, 3, 4) from the plane 3x - 6y + 2z + 11 = 0 is: