MCQs of Three Dimensional Geometry

Showing 1 to 10 out of 39 Questions

The equation of the line passing through origin with direction angles

\frac{2 π}{3}, \frac{π}{4}, \frac{π}{3}

is _____

Line passing through (3, 4, 5) and (4, 5, 6) has direction cosines _____

Lines

\frac{x}{2} = \frac{y}{1} = \frac{z}{3}

and

\frac{x - 2}{2} = \frac{y + 1}{1} = \frac{3 - z}{- 3}

are _____ lines.

(a)	parallel
(b)	perpendicular
(c)	coincident
(d)	intersecting in an acute angle

Line through origin and parallel to Y-axis is _____

The measure of the angle between the lines x = k +1, y = 2k - 1, z = 2k + 3,

k \in R

and

\frac{x - 1}{2} = \frac{y + 1}{1} = \frac{z - 1}{- 2}

is _____

Equation of the line L passing through A(-2, 2, 3) and perpendicular to

\overset{\leftrightarrow}{AB}

is _____ where coordinates of B are (13, -3, 13).

\frac{x - 4}{1} = \frac{y - 2}{1} = \frac{z - k}{2}

lies in the plane 2x - 4y + z = 7, then k= _____.

If lines

r = (2, - 3, 7) + k (2, a, 5), k \in R

and

r = (1, 2, 3) + k (3, - a, a), k \in R

are perpendicular to each other, then a _____.

The two lines x = ay + b, z = cy + d and x = a' y + b', z = c' y + d will be perpendicular, if and only if

10.

If a line makes an angle of

\frac{π}{4}

with the positive directions of each of X - axis and Y - axis, then the angle that the line makes with the positive direction of the Z - axis is

Showing 1 to 10 out of 39 Questions