Question

In what ratio does the y- axis divides the line joining the points ( -5 , 1 ) and ( 2, 3 ) internally.​

Answer 1

Answer:

5:2 IS YOUR ANSWER

Step-by-step explanation:

let the point A(-5, 1) and B(2, 3)

now let the ratio which divides line AB is k:1

since it is divided by y-axis so the coordinates of that point must be P(0, y) [for y-axis x=0]

GIVEN:- x1= -5 x2= 2

y1= 1 y2= 3

m1= k m2= 1

X=0 Y=y

USING SECTION FORMULA

X= (m1x2)+(m2x1)/m1+m2 , Y=(m1y2)+(m2y1)/m1+m2

0=(k*2)+(1*-5)/k+1

2k-5/k+1 = 0

2k-5=0

2k= 5

k= 5/2

THUS THE REQUIRED RATIO IS

5:2

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