Coordinate Geometry Practice 2: Section Formula and Midpoint

Section A: Section Formula

Question 1mcq

If point

P

divides

AB

internally in the ratio

2:3

, what does this mean?

A.

AP:PB=2:3

B.

AP:PB=3:2

C.

AB:AP=2:3

D.

P

is outside

AB

Question 2mcq

A point divides a segment internally in the ratio

1:1

. What is the point called?

A.Origin

B.Midpoint

C.Endpoint

D.Centroid

Question 3mcq

Find the point dividing

A(2,3)

and

B(8,9)

internally in the ratio

1:2

.

A.

(4,5)

B.

(5,6)

C.

(6,7)

D.

(3,4)

Question 4mcq

Point

P

divides

A(-1,4)

and

B(5,-2)

in the ratio

2:1

. Find

P

.

A.

(1,2)

B.

(3,0)

C.

(2,1)

D.

(4,-1)

Question 5mcq

Find the midpoint of

(-2,5)

and

(6,1)

.

A.

(2,3)

B.

(4,6)

C.

(1,2)

D.

(3,2)

Section B: Midpoint and Ratios

Question 6mcq

The midpoint of

A(3,k)

and

B(7,9)

is

(5,6)

. Find

k

.

A.

1

B.

2

C.

3

D.

4

Question 7mcq

Point

P(4,0)

divides

A(0,0)

and

B(10,0)

internally. What is

AP:PB

?

A.

2:3

B.

3:2

C.

1:4

D.

4:1

Question 8mcq

Point

P(2,2)

lies on the segment from

A(0,0)

to

B(6,6)

. What ratio does

P

divide

AB

in?

A.

1:2

B.

2:1

C.

1:3

D.

3:1

Question 9mcq

A delivery point is two-thirds of the way from warehouse

A(0,0)

to shop

B(9,6)

. What are its coordinates?

A.

(3,2)

B.

(6,4)

C.

(4,6)

D.

(2,3)

Question 10mcq

The midpoint of a diameter of a circle is the centre. If endpoints of a diameter are

(-4,2)

and

(8,6)

, what is the centre?

A.

(2,4)

B.

(4,2)

C.

(1,4)

D.

(2,3)