Question

1) Find the ratio in which the point (4,8) divides the line segment joining the points (5,7) and (3,9)​

Answer 1

Answer:

Given point (8, 4) = C x , y

Let A(5,−2)B(9,6)

x

1

y

1

x

2

y

2

we have to find the

ratio of AC & CB

Let ratio = k : 1

m

1

:m

2

=k:1

using section formula

x=

m

1

+m

2

m

1

x

2

+m

2

x

1

8=

1+k

k(9)+1(5)

8=(1+k)=9k+5

9k+5−8−8k=0

k=3

The ratio is k:1

=3:1

Answer 2

Answer:

1:1

Shortcut:

the ratio in which (x,y) divides (x1,y1) and (x2,y2) is x1-x:x-x2  and  y1-y:y-y2

PLZ:

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Step-by-step explanation:

the ratio in which the point (4,8) divides the line segment joining the points (5,7) and (3,9)​ is 5-4:4-3=1:1