Question

1 point
Find the co-ordinates of the
point which divides line seg QR
in the ratio 1:2 where Q (11)
and R (1, -2).
O -5,3
O 1,0
O 3,2
TIL
-4,1​

Answer 1

Step-by-step explanation:

ANSWER

Let the co-ordinates of the point P be P(x,y) which divides the line segment QR

joining the points Q(x

1

,y

1

)=(6,−5) & R(x

2

,y

2

)=(−10,2) in the ratio m:n=3:4

Then, by the section formula,

x=

m+n

nx

1

+mx

2

=

3+4

4×(6)+3×(−10)

=−

7

6

and

y=

m+n

ny

1

+my

2

=

3+4

4×(−5)+3×2

=−2

∴P(x,y)=P(−

7

6

,−2)

Answer 2

Step-by-step explanation:

The co-ordinates of point P is (1,0)