Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 9

EASY

10th ICSE

IMPORTANT

Earn 100

Find the co-ordinates of the centroid of a triangle $ABC$ whose vertices are :
$A (- 1, 3), B (1, - 1)$ and $C (5, 1) .$

Important Questions on Section and Mid-Point Formula

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 10

The mid-point of the line segment joining

(4 a, 2 b - 3)

and

(- 4, 3 b)

is

(2, - 2 a) .

Find the values of

a

and

b .

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 11

The mid-point of the line segment joining

(2 a, 4)

and

(- 2, 2 b)

is

(1, 2 a + 1) .

Find the values of

a

and

b .

MEDIUM

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 12

Write down the co-ordinates of the point

P

that divides the line joining

A (- 4, 1)

and

B (17, 10)

in the ratio

1 : 2 .

EASY

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 12

Calculate the distance

OP,

where

O

is the origin.

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 12

The coordinates of a line segment

A B

are

A (- 4, 1) and B (17, 10)

. In what ratio does the

y - axis

divide the line

AB ?

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 13

Prove that the points

A (- 5, 4); B (- 1, - 2)

and

C (5, 2)

are the vertices of an isosceles right angled triangle. Find the co-ordinates of

D

so that

ABCD

is a square.

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 14

M

is the midpoint of the line segment joining the points

A (- 3, 7)

and

B (9, - 1) .

Find the coordinates of point

M .

Further, if

R (2, 2)

divides the line segment joining

M

and the origin in the ratio

p : q,

find the ratio

p : q .

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 13 - Section and Mid-Point Formula>EXERCISE>Q 15

Calculate the ratio in which the line joining

A (- 4, 2)

and

B (3, 6)

is divided by point

P (x, 3) .

Also, find

x

.