MCQs of Three Dimensional Geometry

Showing 151 to 160 out of 188 Questions

151.

The co-ordinates of the foot of perpendicular from p(2,4,-1) to the line

\bar{r} = (- 5, - 3, 6) + k (1, 4, - 9), k \in R

are_____

152.

Find the intercepts formed by

\bar{r} \cdot (2, - 3, 4) = 12

on the axes.

153.

Find the measure of the angle between the planes 2x-y+z=2 and x+y+2z=3.

154.

The direction ratio of the line

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

is _____

155.

The co-ordinates of the point of intersection of the line

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

and the plane 2x+y+z=6 are _____

156.

The equation of the line passing through origin and perpendicular to the plane 2x+4y-5z=10 is _____

157.

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

158.

If the plane 3x-4y-kz=7 contains the line

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

then k=_____

159.

Find the equation of the plane passing through A(-1,2,3) and B(3,-5,6) and parallel to the line

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

from the following equations.

160.

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}

Showing 151 to 160 out of 188 Questions