Question

14) Find the distance of points A(6,0) and B (0,5)​

Answer 1

The distance between the points (0, 8) and (6, 0) is

d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

=

(6−0)

2

+(0−8)

2

=

36+64

=

100

=10

Aliter:

Let A and B denote the points (6, 0) and (0, 8) and let O be the origin. The point (6, 0) lies on the x-axis and the point (0, 8) lies on the y-axis. Since the angle between coordinate axes is right angle, the points A, O and B form a right triangle.

Now, OA = 6 and OB = 8. Hence, using Pythagorean Theorem

AB

2

=OA

2

+OB

2

=36+64=100.

∴AB=

100

=10