MCQs of Three Dimensional Geometry

Showing 81 to 90 out of 188 Questions

81.

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_____

82.

Lines \frac{x - 1}{2} = \frac{1 - y}{1} = \frac{z + 1}{2} and \frac{2 - x}{2} = \frac{y - 3}{- 1} = \frac{4 - z}{- 2} are_____

83.

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 =_____

84.

The perpendicular distance of A (1, 0, 3) from the line \bar{r} = (4, 7, 1) + k (1, 2, - 2), k \in R is_____

85.

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_____

86.

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

87.

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

88.

A line L_{1} passes through a point 3 i, parallel to the vector - \hat{i} + \hat{j} + \hat{k} . A line L_{2} passes through \hat{i} + \hat{j} and parallel to \hat{i} + \hat{k} then point of intersection of both the line is_____

89.

Distance of point B (\hat{i} + 2 \hat{j} + 3 \hat{k}) from a line passing through A (4 \hat{i} + 2 \hat{j} + 2 \hat{k}) and parallel to \bar{c} = 2 \hat{i} + 3 \hat{j} 6 \hat{k} is λ then value of λ^{6} + λ^{4} + λ^{2} + 1 is_____

90.

If the direction of the lines

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

and

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

are same,c =_____

Showing 81 to 90 out of 188 Questions