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Answer:
m : n = 2 : 5
Point of Division = (0, -6/7)
Step-by-step explanation:
Let the ratio be m : n
In y-axis, the value of x is always 0.
∴ 0 = [(m × 10) + (n × -4)] ÷ [m + n]
⇒ 0 = 10m + (-4n)
⇒ 4n = 10m
⇒ [m/n] = [4/10]
⇒ [m : n] = [2 : 5] ←ANSWER
Let the point of division be (0 , y) [∵In y-axis, x is always 0.]
y = [(2 × 12) + (5 × -6)] ÷ [2 + 5]
y = [24 + (-30)] ÷ 7
y = -6/7 ←ANSWER
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