MCQs of Three Dimensional Geometry

Showing 71 to 80 out of 188 Questions

71.

The measure of the angle between x + 2y + z = 1 and

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

is _____ .

72.

The measure of the angle between the planes ax + by + d = 0 and z = 0 (a² + b² ≠ 0) is _____ .

73.

The normal to the plane x + 2y + 3z = 6 is _____ .

74.

The measure of the angle between the plane

r \cdot (1, 2, 1) = 1

and the line

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

is _____ .

75.

The perpendicular distance between the plane 6x - 3y + 2z = 1 and 12x - 6y + 4z = 21 is _____ .

76.

The equation of the plane passing through the points (3, 4, 2), (2, 2, -1) and (7, 0, 6) is _____ .

77.

If the plane intersect the axes at A, B and C and the centroid of Δ ABC is (1, 3, 1), the equation of the plane is _____ .

78.

If the perpendicular from the origin to the plane makes angles of equal measures with

\hat{i}, \hat{j}, \hat{k}

and its length is

\sqrt{3}

, then what is the equation of the plane ?

79.

The equation of the plane passing through(1,-4,5) and having normal (3,1,-1) is _____ .

80.

The perpendicular distance of the point (3, 2, 1) from the plane 3x + 4y - 2z - 10 = 0 is _____ .

Showing 71 to 80 out of 188 Questions