Q. 343.7( 9 Votes )
In what ratio is the line segment joining the points (– 2, – 3) and (3, 7) divided by the y-axis? Also, find the coordinates of the point of division.
Let the point on the y-axis which divides the line segment joining the points A(– 2, – 3) and B(3, 7) be C(0,y).
Let the ratio in which y-axis divides AB line segment be m:n.
Let (x,y) ≡ (0,y)
(x1,y1) ≡ (– 2, – 3)
and (x2,y2) ≡ (3,7)
Using Section Formula,
⇒ 3m = 2n
∴ m:n = 2:3
⇒ y = (5/5) = 1
Thus, the line segment joining the points (– 2, – 3) and (3, 7) divided by the y-axis in the ratio 2:3 internally and the coordinates of the point of division is (0,1).
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