Question

Find the ratio in which the point p(0, 0) divide the line joining the points (-3, 9) and (1, -3).​

Answer 1

Answer:

Step-by-step explanation:

Answer

Suppose the point P(−3,p) divides the line segment joining points A(−5,−4)≡(x  

2

​

,y  

2

​

) and B(−2,3)≡(x  

1

​

,y  

1

​

) in the ratio k:1.

Section formula: [x=(  

m+n

mx  

1

​

+nx  

2

​

 

​

)] and [y=(  

m+n

my  

1

​

+ny  

2

​

 

​

)]

Then, the coordinates of P are(  

k+1

−2k−5

​

 

k+1

3k−4

​

)

But, the coordinates of P are given as (−3,p).

∴  

k+1

−2k−5

​

=−3and  

k+1

3k−4

​

=p

⇒−2k−5=−3k−3and  

k+1

3k−4

​

=p

⇒k=2andp=  

k+1

3k−4

​

 

⇒k=2andp=  

3

2

​

 

Hence, the ratio is 2:1 and p=  

3

2

​

.

Answer 2

Answer:

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