Question

. Find the coordinates of the point which divides the line segment joining the

point A(3,7 )B (-11,-2 ) in the ratio 5:2​

Answer 1

Answer:

The end points of AB are A(4,-3) and B(9,7).

Therefore,

(x

1

=4,y

1

=−3) and (x

2

=9,y

2

=7)

Also, m=3 and n=2

Let the required point be P(x,y).

Using section formula,

x=

m+n

mx

2

+nx

1

,y=

m+n

my

2

+ny

1

x=

5

3×9+2×4

=7,y=

5

3×7+×−3

=3

Therefore, the required point is P(7,3).

Answer 2

Step-by-step explanation:

The end points of AB are A(4,-3) and B(9,7).

Therefore,

(x

1

=4,y

1

=−3) and (x

2

=9,y

2

=7)

Also, m=3 and n=2

Let the required point be P(x,y).

Using section formula,

x=

m+n

mx

2

+nx

1

,y=

m+n

my

2

+ny

1

x=

5

3×9+2×4

=7,y=

5

3×7+×−3

=3

Therefore, the required point is P(7,3).

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