Question

find coordinates of point which divides the line segment joining the points (-4,0) and (0,6) in three equal parts​

Answer 1

Answer:

you can do it your self it is very easy.

ch 3 std 9 ncrt book

Answer 2

Answer:

(

−3,

2

3

)

B

(−2,3),

C

(

−1,

2

9

)

D

All of the above

Given-

A(−4,0) & B(0,6) are the end points of the line segment AB.

To find out-

The coordinates of the points which divide AB into 4 equal segments.

Solution

If the line AB is divided into 4 segments then there will be 3 points p,q & r such that Ap=pq=qr=Bq.

Then, q is the mid point of AB.

p is the mid point of Aq, and r is the mid point of Bq.

We shall apply mid point formula

(X,Y)=(

2

x

2

+x

1

,

2

y

2

+y

1

).

AB

M

=q=(

2

−4−0

,

2

0−6

)=(−2,−3).

Aq

M

=p=(

2

−4−2

,

2

0+3

)=(−3,

2

3

),

Bq

M

=r=(

2

−2+0

,

2

3+6

)=(−1,

2

9

).