Question

In what ratio does the point (1,6) divide the line
segment joining the points (3,6) and (-5,6).

(A)1:3
(B) 2:3
(C)3:1
(D) 3:2​

Answer 1

Answer:

3:1

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Step-by-step explanation:

Given the points A(-3,2) and B(6,1)

Let the coordinate of points of division be (x,0)

Let the ratio be m:n

∴ The coordinate are given by (

m+n

x

2

m+x

1

n

,

m+n

y

2

m+y

1

n

)

⟹(

m+n

6m−3n

,

m+n

m+2n

)

Given the y-coordinate =0 (since it cuts the x-axis)

∴

m+n

m−3n

=0∴m=3ni.e,

n

m

=

1

3

∴ required ratio = 3:1

Answer By