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.

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Answer 1

Answer:

here coordinates of dividing point is

(0,y)

p(x,y) = { mx2 + nx1/m+n , my2 + ny1/m+n}

p(0,y) = { m(-9)+n(3)/m+n , m(3)+n(8)/m+n}

p(0,y) = { -9m+3n/m+n , 3m+8n/m+n }

compare both side

0 = -9m+3n/m+n

0(m+n) = -9m+3n

0 = -9m+3n

9m = 3n

m/n = 3/9

m/n = 1/3

m:n = 1:3

so the ratio is 1:3

Step-by-step explanation:

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