Question

In what ratio does the point P(-4,6) divide the line segment joining the points A(-6,10) and B(3,-8)?​

Answer 1

Answer:

Let the required ratio be m:n

A(−6,10)≡(x

1

,y

1

) and B(3,−8)≡(x

2

,y

2

)

we have,

(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)=(−4,6)

⇒

m+n

mx

2

+nx

1

=−4

⇒m(3)+n(−6)=−4m−4n

⇒3m−6n=−4m−4n

⇒3m+4m=6n−4n

⇒7m=2n

⇒

n

m

=

7

2

⇒m:n=2:7