### MCQs of Three Dimensional Geometry

Showing 1 to 10 out of 188 Questions
1.
The equation of the line passing through origin with direction angles $\frac{2\mathrm{\pi }}{3},\frac{\mathrm{\pi }}{4},\frac{\mathrm{\pi }}{3}$ is _____
 (a) (b) (c) (d)
2.
Line passing through (3, 4, 5) and (4, 5, 6) has direction cosines _____
 (a) 1, 1, 1 (b) (c) (d) 7, 9, 11
3.
Lines and are _____ lines.
 (a) parallel (b) perpendicular (c) coincident (d) intersecting in an acute angle
4.
Line through origin and parallel to Y-axis is _____
 (a) (b) (c) (d)
5.
The measure of the angle between the lines x = k +1, y = 2k - 1, z = 2k + 3, $\mathrm{k}\in \mathrm{R}$ and is _____
 (a) (b) (c) (d) $\frac{\mathrm{\pi }}{2}$
6.
A normal to the plane x = 2 is _____
 (a) ( 0, 1, 1) (b) (2, 0, 2) (c) (1, 0, 0) (d) (0, 1, 0)
7.
Direction of the line perpendicular to the plane 3x - 4y + 7z = 2 and passing through (-1, 2, 4) is _____.
 (a) (3, 4, 7) (b) (4, -6, 3) (c) (-3, 4, -7) (d) (-1, 2, 4)
8.
Perpendicular distance of origin from the plane is _____
 (a) 65 (b) 5 (c) -5 (d) $\frac{5}{13}$
9.
Plane 2x + 3y + 6z - 15 = 0 makes angle of measure _____ with X - axis.
 (a) $co{s}^{-1}\frac{3\sqrt{5}}{7}$ (b) $si{n}^{-1}\frac{3}{7}$ (c) $si{n}^{-1}\frac{2}{\sqrt{7}}$ (d) $ta{n}^{-1}\frac{2}{7}$
10.
Perpendicular distance between the planes 2x - y + 2z = 1 and 4x - 2y + 4z = 1 is _____.
 (a) $\frac{1}{3}$ (b) 3 (c) $\frac{1}{6}$ (d) 6
Showing 1 to 10 out of 188 Questions