Question

The coordinates of a point on y-axis which is equidistant from the points (3,2) and ( 2,-3)​

Answer 1

Correct option is

B

(0,2)

Distance between two points (x  

1

​

,y  

1

​

) and (x  

2

​

,y  

2

​

) can be calculated using the formula  

(x  

2

​

−x  

1

​

)  

2

+(y  

2

​

−y  

1

​

)  

2

 

​

 

Let the point on the y-axis be (0,y)

Distance between (0,y) and (3,1)=  

(3−0)  

2

+(1−y)  

2

 

​

=  

9+1  

2

+y  

2

−2y

​

=  

y  

2

−2y+10

​

 

Distance between (0,y) and (1,5)=  

(1−0)  

2

+(5−y)  

2

 

​

=  

1+5  

2

+y  

2

−10y

​

=  

y  

2

−10y+26

​

 

As the point (0,y) is equidistant from the two points, both the distances calculated are equal.  

y  

2

−2y+10

​

=  

y  

2

−10y+26

​

 

y  

2

−2y+10=y  

2

−10y+26

10y−2y=26−10

8y=16

y=2

Thus, the point is (0,2)

Hope It Helps

Answer 2

Hi

Hello

How are you

and

How are you doing

Hope fine.

I am fine

I wish to be your friend

I am Angeline

Can I get your intro please