Question

find the distance between the points (2,0) and (5,a) is 3√2 find the value of a

Answer 1

Answer:

Given A(2,−3)&B(10,y)  and  AB=10

Distance between two points    

(x  

2

​

−x  

1

​

)  

2

+(y  

2

​

−y  

1

​

)  

2

 

​

 

∴10=  

(10−2)  

2

+(y+3)  

2

 

​

 

Squaring both sides

⇒100=64+9+6y+y  

2

 

⇒y  

2

+6y−27=0

⇒y(y+9)−3(y+9)=0

⇒y=−9,3