Answer:
C is
D is
Step-by-step explanation:
(i) We need to find the coordinate of point C, which divides A(1,4) and B(6,-1) in the ratio 2:3
We know that the coordinate of a point dividing a line segment joining in the ratio m:n is given by
,
Let the coordinate of point C be
Here, the ratio is 2:3
So,
Hence, coordinate of C is
(ii) We need to find the coordinate of point D, which divides A(1,4) and C(3,2) in the ratio 3:2
We know that the coordinate of a point dividing a line segment joining in the ratio m:n is given by
,
Let the coordinate of point D be
Here, the ratio is 2:3
So,
Hence, coordinate of D is