Question

23. The ratio in which C divides AB is .... A C B An A2 Az + Aa As 01​

Answer 1

Answer:

If a point (x,y) divides the line segment joining the points A(x

1

,y

1

) and B(x

2

,y

2

) in the ratio m:n , then

x=

m+n

mx

2

+nx

1

y=

m+n

my

2

+ny

1

Here,

m:n = 3:4

(x

1

,y

1

)=(2,5)

Let the coordinates of B are (x

2

,y

2

)

Then,

−1=

3+4

3x

2

+4(2)

−1=

7

3x

2

+8

3x

2

+8=−7

x

2

=−5

And,

2=

3+4

3y

2

+4(5)

2=

7

3y

2

+20

3y

2

+20=14

y

2

=−2