Question

The coordinates of the point which divides the line segment joining the points F(12, 7) and G(15, 11) in the ratio 1 : 2 internally, are (a) (13, 8.3) (b) (8.3, 13) (c) (14, 9.6) (d) (9.6, 14)​

Answer 1

Step-by-step explanation:

The coordinates of Vertices A , B , C of a triangle ABC are (0 , -2) , (4 , 1) and (0 , 4) respectively. Find the length of median through B.

(a) 4

(b) 5

(c) 6

(d) None of these

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Answer 2

Given: A point divides line segment joining the points (12,7) and (15,11) in the ratio 1:2 internally.

To find: The coordinates of the point

Explanation: Let the point which divides the line segment joining the points be (h,k).

Formula for finding coordinate:

(h,k) = (mx2+nx1/m+n , my2+ny1/m+n)

In this case: m= 1, n=2, x1= 12 ,x2= 15 , y1= 7 , y2= 11

(h,k) = ( 1* 15+ 2* 12/ 2+1 , 1*11+ 2*7/ 2+1)

= (39/3 , 25/3)

= (13, 8.3)

Therefore, the and point that divides the line segment joining points (12,7) and (15,11) internally in ratio 1:2 is (13,8.3).