MATHEMATICS for CLASS XI>Chapter 28 - Introduction to Three Dimensional Coordinate Geometry>EXERCISE 28.3>Q 14

EASY

11th CBSE

IMPORTANT

Earn 100

Using section formula, show that the points $A (2, - 3, 4), B (- 1, 2, 1)$ and $C (0, \frac{1}{3}, 2)$ are collinear.

Important Questions on Introduction to Three Dimensional Coordinate Geometry

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 28 - Introduction to Three Dimensional Coordinate Geometry>EXERCISE 28.3>Q 15

Given that

P (3, 2, - 4), Q (5, 4, - 6)

and

R (9, 8, - 10)

are collinear. Find the ratio in which

Q

divides

P R

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 28 - Introduction to Three Dimensional Coordinate Geometry>EXERCISE 28.3>Q 16

Find the ratio in which the line segment joining the points

(4, 8, 10)

and

(6, 10, - 8)

is divided by the

y z

-plane.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 28 - Introduction to Three Dimensional Coordinate Geometry>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 1

If the distance of the point

P (2, 3, 5)

from the

x y

plane is

k

units, then the value of

k

is

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 28 - Introduction to Three Dimensional Coordinate Geometry>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 2

If the distance of the point

P (3, 4, 5)

from

z

-axis is

k

units, then the value of

k

is

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 28 - Introduction to Three Dimensional Coordinate Geometry>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 3

If the distance between the points

P (a, 2, 1)

and

Q (1, - 1, 1)

is

5

units, find the value of

a

.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 28 - Introduction to Three Dimensional Coordinate Geometry>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 4

The coordinates of the mid-points of sides

A B, B C

and

C A

of

△ A B C

are

D (1, 2, - 3), E (3, 0, 1)

and

F (- 1, 1, - 4)

respectively, Write the coordinates of its centroid.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 28 - Introduction to Three Dimensional Coordinate Geometry>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 5

If the coordinate of the foot of the perpendicular from the point

(1, 2, 3)

on

y

-axis is

(a, b, c)

then find the value of

a + b + c

.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 28 - Introduction to Three Dimensional Coordinate Geometry>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 6

If the length of the perpendicular drawn from the point

P (3, 5, 12)

on

x

-axis is

k

units, then the value of

k

is