Question

Find the ratio in which y axis divides the line segment joining the points A(5,-6) and B(-1,-4) also find the coordinates of the points of devosion
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Answer 1

Answer:

Let the point be A(5,−6), B(−1,−4) and P(0,y)

Point P is on y−axis,hence its x co-ordinate is 0.So, it is of the form P(0,y)

Now, we have to find ratio.

Let the ratio be k:1

Hence m

1

=k,m

2

=1,x

1

=5,y

1

=−6,x

2

=−1,y

2

=−4,x=0,y=0

Using sections formula x=

m

1

+m

2

m

1

x

2

+m

2

x

1

⇒0=

k+1

−k+5

∴k=5

Again y=

m

1

+m

2

m

1

y

2

+m

2

y

1

=

k+1

−4k−6

=

6

−20−6

for k=5

=

3

−13

Hence the coordiantes of point is P(0,

3

−13

)

Step-by-step explanation:

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