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.

Answer :

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)

(x_{1},y_{1}) ≡ (– 2, – 3)

and (x_{2},y_{2}) ≡ (3,7)

Using Section Formula,

⇒ 3m = 2n

∴ m:n = 2:3

Now,

⇒ 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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