Question

if A=(-3,4),B=(2,1),then find the co-ordinates of the point 'c' on bar AB produced such that AC=2BC
please say me​

Answer 1

Answer:

Since AC=2BC=>

BC

AC

=2:1

This means, C divides AB externally in the ratio 2:1

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

line joining the points (x

1

,y

1

) and (x

2

,y

2

)externally in the ratio m:n, then (x,y)=(

m−n

mx

2

−nx

1

,

m−n

my

2

−ny

1

)

Substituting (x

1

,y

1

)=(−3,4) and (x

2

,y

2

)=(2,1) and m=2,n=1 in the section formula, we get

C=(

2−1

2(2)−1(−3)

,

2−1

2(1)−1(4)

)=(7,−2)