Q. 44.1( 243 Votes )

Find the ratio in

Answer :

Let the ratio in which the line segment joining (- 3, 10) and (6, - 8) is divided by point (- 1, 6) be k : 1

Using section formula

i.e. the coordinates of the points P(x, y) which divides the line segment joining the points A(x1, y­1) and B(x2,y2), internally in the ratio m : n are

 

Therefore,


-1 =


⇒ -k – 1 = 6k – 3
 
⇒ - k -6k = -3 + 1

⇒ - 7k = -2

⇒  7k = 2


⇒  k =


Therefore, the required ratio is 2: 7.

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