MCQs of Three Dimensional Geometry

Showing 141 to 150 out of 188 Questions

141.

The perpendicular distance from point (2, -3. 6) to plane 3x - 6y + 2z + 10 = 0 is _____

142.

The equation of passing through (2,-3,5) and making congruent angles with three co-ordinate axes is_____(k ∈ R)

(a)	$\bar{r} = (2, - 3, 5) + k (1, 1, 1)$
(b)	$\bar{r} = (2, - 3, 5) + k (- \frac{1}{\sqrt{3}}, - \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}})$
(c)	$\bar{r} = (2, - 3, 5) + k (\frac{1}{\sqrt{3}}, - \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}})$
(d)	$\bar{r} = (2, - 3, 5) + k (- 1, 1, 1)$

143.

The measure of the angle between the lines, whose direction numbers are l,m,n and -n,n-l,l-m is_____

144.

If the lines

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

and

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

intersect at a unique point, then the integrat value of k is _____

145.

The direction of the passing through the point (2,1,3) and (3,2,-,1) is _____

146.

The perpendicular distance between the planes 2x+2y-z+1=0 and

x + y - \frac{z}{2} + 2 = 0

is _____

147.

Obtain the equation of a plan passing through origin and perpendicular to 2x+y+2z=1 and the planes 3x+2y-z=3.

148.

The line equivalent to

\bar{r} = (1, 1, 1) + k (2, 3, 4), k \in R

R^{3}

is _____

149.

If the direction angles of the plane are

\frac{π}{4}, \frac{π}{4}, \frac{π}{2}

150.

The equation of the plane passing through the point (1,1,0) and parallel to line

\bar{r} = (2, 3, 4) + k (3, 4, 5), k \in R

is _____

Showing 141 to 150 out of 188 Questions