Question

Find the ratio in which the y-axis divides the line segment joining the points (5,-6) and (-1,-4)?

Answer 1

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Answer 2

Answer: 1:5

Step-by-step explanation.

Let the point where y axis cuts the line segment be (0, y).

x coordinate becomes 0 as the line segment is cut by the y axis.

Let the part of the segment at left of y axis be p and that at right be q. So the ratio is p:q.

Point (5, -6) is at right of y axis and (-1, -4) is at left.

So the x coordinate of (0, y) is, the sum of products of x coordinate of (5, -6) with p and x coordinate of (-1, -4) with q, divided by p+q.

$\bold{\therefore\ \frac{5p-q}{p+q}=0} \\ \\ \bold{\Rightarrow\ 5p-q=0} \\ \\ \bold{\Rightarrow\ q=5p}$

So the ratio,

p:q

⇒ p:5p

⇒ 1:5

Hope this helps.

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