Question

Q17) Find the ratio in which the y-axis divides line segment joining
the points (5,-6) and (-1,-4). Also find the coordinates of the points of division.​

Answer 1

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Answer 2

Answer:

Ratio :- 5:1

Point of division:- (0,-13/3)

Step-by-step explanation:

Let y-axis divides the line joining the points (5,-6) and (-1,-4) in ratio m:1 and let the point of division be (0,k)

Therefore, by applying section formula:-

$\frac{ 1 \times 5 + m \times ( - 1)}{m + 1} = 0 \: \: \: \: ....(1)$

and

$\frac{1 \times ( - 6) + m \times ( - 4)}{m + 1} = k \: \: \: \: ....(2)$

from equation 1

$= > m = 5$

putting value of m in equation 2

$k = \frac{ - 26}{6} = \frac{ - 13}{3}$