Question

The line segment joining points (-3,-4) and (1,-2) is divided by Y axis in the ratio Select one: a. 2 : 3 b. 1 : 3 c. 3 : 1 d. 2 : 3

Answer 1

C) 3:1

Step-by-step explanation:

(x_{1},y_{1}x

1

,y

1

)=(-3-4)

(x_{2},y_{2}x

2

,y

2

)=(1,-2)

y axis=(0,y)

using section formula,

x=\frac{x_{2}*m_{1} +x_{1}*m_{2}}{m_{1} +m_{2}}

m

1

+m

2

x

2

∗m

1

+x

1

∗m

2

0=\frac{1*m_{1} +-3*m_{2}}{m_{1} +m_{2}}

m

1

+m

2

1∗m

1

+−3∗m

2

0=1m_{1}-3m_{2}1m

1

−3m

2

3m_{2}=1m_{1}3m

2

=1m

1

∴m1:m2=3:1

Hence the ratio of the line segment is 3:1 .