Question

What are the coordinates of A and B respectively?
i)A(3,5);B(7,8)
ii) A(5,3),B(8,7
iii)A(3, 5); B(7,9)

Answer 1

Answer:

If a point P(x,y) divides a line segment having end points coordinates (x

1

,y

1

) and (x

2

,y

2

), then coordinates of the point P can be find using formula:

x=

m

1

+m

2

m

1

x

2

+m

2

x

1

y=

m

1

+m

2

m

1

y

2

+m

2

y

1

Let P(x,y) be the point which divides the line joining the points A(−5,11) and B(4,−7) in the ratio 7:2.

x=(7×4+2×(−5))/(7+2)

=(28−10)/9

=18/9

=2

y=(7×(−7)+2×11)/9

=(−49+22)/9

=−27/9

=−3

Therefore, required point is (2,−3).

Was this answer helpful?