Question

In what ratio is the line joining (2,-4)and (-3,6) divided by the y-axis​

Answer 1

simple

1:2

answer= 1:2

Answer 2

Answer:

Step-by-step explanation:

Y divides the line joining the point (2,−4) and (−3,6) the ratio λ:1 then the point P is given by

P(  

m+n

mx  

2

​  

+nx  

1

​  

 

​  

,  

m+n

my  

2

​  

+ny  

1

​  

 

​  

)

P(  

λ+1

λ(−3)+1.2

​  

,  

λ+1

λ(6)+1.(−4)

​  

)

P(  

λ+1

−3λ+2

​  

,  

λ+1

6λ−4

​  

)

since P lies on Y-axis

Hence  

λ+1

−3λ+2

​  

=0⇒−3λ=−2⇒λ=  

3

2

​  

 

3

2

​  

:1

Hence Y axis divides the line joining the point (2,−4) and (−3,6) in the ratio 2:3