MCQs of Three Dimensional Geometry

Showing 21 to 30 out of 39 Questions

21.

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 =_____

22.

The equation of the line parallel to the line

\frac{x - 1}{3} = \frac{2 - y}{- 5} = \frac{z - 10}{15}

and passing through (2,3,4) is _____

23.

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 _____

24.

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=_____

25.

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

26.

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

27.

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

28.

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

29.

The line equivalent to

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

R^{3}

is _____

30.

The direction ratio of the line

\frac{3 - x}{1} = \frac{y - 2}{5} = \frac{2 z - 3}{1}

is _____

Showing 21 to 30 out of 39 Questions