Question

Find the point which divides the line segment joining the point [-1,7],and [4,-3]in the ratio 2:3​

Answer 1

Answer:

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

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Therefore,

x=

2+3

2×4+3×(−1)

=

5

8−3

=

5

5

=1 and

y=

2+3

2×(−3)+3×7

=

5

−6+21

=

5

15

=3

So, the coordinates of P are (1,3).

Step-by-step explanation:

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Answer 2

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