Question

Find the ratio in which the line segment joining the points A (3, 8) and B (−9, 3) is divided by the Y- axis.

Let, A ≡ (3, 8) ≡ (x , y ),

B ≡ (− 9, 3) ≡ (x , y )

Let, P (x, y) divides seg AB in the ratio m : n.

∴ By section formula,

x = _____

= m ( − 9) + n (3)

m + n

x = _____

As point P lies on Y axis, its x coordinate is _____.

∴ 0 = − 9m + 3n

m + n

∴ 0 = _____

∴ 9m = 3n

∴

m

n

= _____

∴

m

n

= _____

∴ Point P divides seg AB in the ratio 1 : 3​

Answer 1

Answer:

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