MCQs of Three Dimensional Geometry

Showing 121 to 130 out of 188 Questions

121.

Distance between the line \bar{r} = 2 \hat{i} - 2 \hat{j} + 3 \hat{k} + λ (\hat{i} - \hat{j} + 4 \hat{k}) and the plane \bar{r} . (\hat{i} + 5 \hat{j} + \hat{k}) = 5 is_____

122.

Cartesian equation of the plane \bar{r} = (1 + λ - μ) \hat{i} + (2 - λ) \hat{j} + (3 - 2 λ + 2 μ) \hat{k} is_____

123.

Foot of perpendicular drawn from 2 \hat{i} + 6 \hat{j} + \hat{k} to the line joining - 11 \hat{j} + 3 \hat{k} and 2 \hat{i} - 3 \hat{j} + \hat{k} is_____

124.

The direction of the line parallel to the plane 3x-4y+7z=2 and passing through (-1,2,4) is _____

125.

Measure of the angle between the line

\bar{r} = (- 3, 5, - 1) + k (1, 2, 1,) k \in R

and

\bar{r} = (1, 3, - 2) + k (6, - 3, 0), k \in R

is _____

126.

If P_{1} and P_{2} are the distance of points (1, 1, 1) and (- 3, 0, 1) from the plane 3 x + 4 y - 12 z + 13 = 0 respectively then_____

127.

Perpendicular distance of the plane y-2x+5+z from the point (0,0,0) is _____

128.

Equation of the line Perpendicular to plane, 2x-y+2√5 z=3 and passing through the point (2,-1,3) is _____

129.

Distance of a plane passing through (1, 1, 1) and perpendicular to a line \frac{x - 1}{3} = \frac{y - 1}{0} = \frac{z - 1}{4} from the origin is_____

130.

If (5,8,a) is a image of the point (1,2,3) relative to the line

\bar{r} = (6, 7, 7) + k (3, 2, - 2), k \in R

, then a=_____

Showing 121 to 130 out of 188 Questions