Question

The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1:2 internally lies in the ​

Answer 1

Answer:

The point which divides the line segment joining the points (7,-6) and (3,4) in ratio 1 : 2 internally lies in the IV quadrant.

Step-by-step explanation:

If P(x,y) divides the line segment joining A

(x1,y1) and B(x2,y2) Internally in the ration

m: n, then x = mx+nx1 / m+n and y = my2+ny1 / m+n

Given that ,

x1 = 7, y1 = −6, x2=3, y2=4, m=1 and n=2

∴ x = 1(3)+2(7) / 1+2, y = 1(4)+2(−6) / 1+2

[by section formula]

⇒x = 3+14 / 3, y = 4−12 / 3

⇒x = 17 / 3, y = −83

So , (x, y) = (17 / 3, − 8 / 3) lines in IV quadrant .