Question

1 Find the distance between the following pairs of points :
(i) (2,3),(4,1) ​

Answer 1

Answer:

1) ( 2,3)

ans- let us suppose 2 is the co-ordinate of point A, and 3 is co-ordinate of point B.

∴to find the distance we should subtract the smaller co-ordinate from the greater co-ordinate.

∴3 > 2

∴d ( A , B ) = 3 - 2

                  = 1

∴d ( A,B ) = 1

∴ the distance between point 2 and 3 is 1.

2) ( 4 , 1)

ans - let us suppose 4 is the co-ordinate of point A, and 1 is co-ordinate of point B.

∴to find the distance we should subtract the smaller co-ordinate from the greater co-ordinate.

∴ 4 > 1

∴d ( A , B ) =  4 - 1

                  = 3

∴ d ( A,B )  = 3

∴ the distance between point 4 and 1  is 3.

Answer 2

Given :

• Two points are A(2,3) and B(4,1)

________________

To Find :

• Distance between A and B

________________

Solution :

•x1 = 2 , y1 = 3

•x2 = 4 , y2 = 1

Use Distance formula :

⇒AB = √[(x2 - x1)² + (y2 - y1)²]

⇒ AB = √[(4 - 2)² + (1 - 3)²]

⇒ AB = √[(2)² + (-2)²]

⇒ AB = √[4 + 4]

⇒ AB = √8

➜ Distance between objects is √8 units.