Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 22 - Three Dimensional Geometry>Practice Exercise>Q 31

EASY

NDA & NA EE

IMPORTANT

Earn 100

What is the equation of the straight line passing through $(a, b, c)$ and parallel to $Z$ -axis?

81.25% studentsanswered this correctly

Important Questions on Three Dimensional Geometry

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 22 - Three Dimensional Geometry>Practice Exercise>Q 32

What is the distance of the point

(1, 2, 0)

from

Y Z

-plane is

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 22 - Three Dimensional Geometry>Practice Exercise>Q 33

If a line

O P

of length

r

(where

O

is the origin) makes an angle

α

with

X

-axis and lies in the

X Z

-plane, then what are the coordinates of

P

?

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 22 - Three Dimensional Geometry>Practice Exercise>Q 34

If the distance between the points

(7, 1, - 3)

and

(4, 5, λ)

is

13

units, then what is one of the values of

λ

?

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 22 - Three Dimensional Geometry>Practice Exercise>Q 35

What are the direction ratios of the line of intersection of the planes

x = 3 z + 4

and

y = 2 z - 3

?

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 22 - Three Dimensional Geometry>Practice Exercise>Q 36

What is the equation to the plane through

(1, 2, 3)

parallel to

3 x + 4 y - 5 z = 0

?

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 22 - Three Dimensional Geometry>Practice Exercise>Q 37

What is the angle between the lines

\frac{x - 2}{1} = \frac{y + 1}{- 2} = \frac{z + 2}{1}

and

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

?

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 22 - Three Dimensional Geometry>Practice Exercise>Q 38

What are the direction cosines of a line which is equally inclined to the positive directions of the axes?

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 22 - Three Dimensional Geometry>Practice Exercise>Q 39

What is the angle between the planes

2 x - y - 2 z + 1 = 0

and

3 x - 4 y + 5 z - 3 = 0

?