MCQs of Three Dimensional Geometry

Showing 11 to 20 out of 39 Questions

11.

A symmetrical form of the line of intersection of the planes x = ay + b and z = cy + d is

12.

If the line \frac{x - 3}{2} = \frac{y + 2}{- 1} = \frac{z + 4}{3} lies in the plane lx + my - z = 9, then l^{2} + m^{2} equal to

13.

The shortest distance between the lines

\frac{x}{2} = \frac{y}{2} = \frac{z}{1} and \frac{x + 2}{- 1} = \frac{y - 4}{8} = \frac{z - 5}{4}

lies in the interval :

14.

If the direction of the lines

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

and

\frac{x - 5}{1} = \frac{y - 3}{1} = \frac{z + 1}{c}

are same,c = _____

15.

The equation of the line parallel to the line

\frac{x - 1}{3} = \frac{2 - y}{- 5} = \frac{z - 10}{15}

and passing through (2, 3, 4) is _____.

16.

Direction cosines of the line \frac{\sqrt{2} x - 3 \sqrt{2}}{1} = \frac{2 \sqrt{2} - \sqrt{2} y}{2}, z + 1 = 0 is_____

17.

If the Lines \frac{x - 1}{c} = \frac{y - 2}{- 2} = \frac{z + 3}{4} and \frac{x - 1}{2} = \frac{y + 2}{- 1} = \frac{z + 1}{2} have the same directions then c =_____

18.

The equation of a line passing through (2, 3, 4) are parallel to the line \frac{x - 1}{3} = \frac{y - 2}{5} = \frac{z - 10}{15} is_____

19.

Direction of the line x=1 + 2y, 3y=z - 1 is (2, 1, 3) then it passes through the point_____

20.

Perpendicular distance between the lines x = y = z and x - 1 = y - 2 = z - 3 is_____

Showing 11 to 20 out of 39 Questions