MCQs of Three Dimensional Geometry

Showing 31 to 39 out of 39 Questions

31.

If a line passing through (1,-3,5) makes angles of equal measures with the axes, then the equation of the line is _____

32.

Obtain the minimum distance between the line

\frac{x - 3}{2} = \frac{y + 15}{- 7} = \frac{z - 9}{5}

and

\frac{x + 1}{2} = \frac{y - 1}{1} = \frac{z - 9}{- 3}

33.

The measure of the angles between the line 2x=3y=-z and

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

is _____

34.

the measure of the angle between the lines

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

and

\frac{x - 1}{- \sqrt{3 - 1}} = \frac{y - 1}{\sqrt{3} - 1} = \frac{z - 1}{4}

is _____

35.

The shortest distance between the lines

\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}

and

\frac{x - 2}{3} = \frac{y - 4}{4} = \frac{z - 5}{5}

is _____

36.

The shortest distance between the line

\frac{x - 3}{3} = \frac{y - 8}{- 1} = \frac{z - 3}{1}

and

\frac{x + 3}{- 3} = \frac{y + 7}{2} = \frac{z - 6}{4}

37.

If the direction ratios of two lines are given by 3lm-4ln+mn=0 and l+2m+3n=0, then the measure of the angle between them is _____

38.

A line makes angles of equal measures θ with X-axis and Z-axis. If it makes an angle of measure β with Y-axis and sin²β=3 sin²θ then cos²θ =_____

39.

For what values of k,

(\frac{1}{\sqrt{2}}, \frac{1}{2}, k)

becomes direction cosines of a line ?

Showing 31 to 39 out of 39 Questions