MCQs of Three Dimensional Geometry

Showing 131 to 140 out of 188 Questions

131.

Distance of a point of intersection of aline \frac{x - 3}{1} = \frac{y - 4}{2} = \frac{z - 5}{2} and a plane x + y + z = 17 from the point (3, 4, 5) is_____

132.

Measure of the angle formed by plane x-2y+3z=2 withe Y-axis is_____

133.

If the fool of perpendicular on the plane from the origin is (2,1,0); then equation of this plane is _____

134.

If the lines

\bar{r} = (5, 5, 2) + k (3, 6, 9), k \in R

and

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

are parallel, then b=_____

135.

Direction vector of the intersecting line of the planes 3x-z=5 and 2y+x+z=3 is _____

136.

Equation of a plane making X-intercept 4, Y-intercept (-6),Z-intercept 3 is _____

137.

Vector from of plane 2x-z+1=0 is _____

138.

Cartesian equation of line passing through(2,2,-3) and (1,3,5)is _____

139.

The perpendicular distance from origin to plane

\bar{r} \cdot (3, 4, 12) = 65

140.

The expression of x+y+z=1 in from of x cos α +y cos β +z cos γ =P is _____

(a)	x+y+x=1
(b)	$\frac{x}{2 \sqrt{3}} + \frac{y}{2 \sqrt{3}} + \frac{z}{2 \sqrt{3}} = \frac{1}{\sqrt{3}}$
(c)	$\frac{x}{\sqrt{3}} + \frac{y}{\sqrt{3}} + \frac{z}{\sqrt{3}} = 1$
(d)	$\frac{x}{\sqrt{3}} + \frac{y}{\sqrt{3}} + \frac{z}{\sqrt{3}} = \frac{1}{\sqrt{3}}$

Showing 131 to 140 out of 188 Questions