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

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Answer:

Answer:

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

.

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