Question

Find the ratio is which the y-axis divides the line segment joining the points (5.-6) and (-1-4). ​

Answer 1

Step-by-step explanation:

Here the two given points are A(5,−6) and B(−1,−4). Since, the y-axis divided the given line, so the x coordinate will be 0. Thus the given points are divided by the y-axis in the ratio 5:1.

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Answer 2

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

Solution

Using the section formula, if a point (x,y) divides the line joining the points (x1,y1) and (x2,y2) in the ratio m:n, then 

(x,y)=(m+nmx2+nx1,m+nmy2+ny1)

Let the point on y -axis be P(0,y) and 

AP:PB=k:1

Therefore, using section formula: 

k+15×1+(−1)×k=05−k=0⟹k=5

Hence, required ratio is 5:1.