Question

Find the ratio in which the point (2, y) divides the join of (-2, 3) and (4, 6) and hence, find y.

Answer 1

Answer:

Step-by-step explanation:

orrect option is

C

3:2,y=3

Let the given point C(2,y) divides A(−4,3) and B(6,3) in the required ratio be k:1

Using the section formula −

x =  

k+1

x  

2

​

k+x  

1

​

(1)

​

   and  y =  

k+1

y  

2

​

k+y  

1

​

(1)

​

 

Then,  

k+1

6k−4(1)

​

=2  

⇒6k−4=2k+2  

⇒6k−2k=4+2  

⇒4k=6  

⇒k=  

4

6

​

 

⇒k=  

2

3

​

 

Hence the ratio is 3:2

Thus, substituting we get the value of y as,  

y=  

3+2

3(3)+2(3)

​

 

y=  

5

9+6

​

 

y=  

5

15

​

=3

The value of y is 3