Question

x=6, y=-2,If the co-ordinate of A is x and that of B is y, find d(A, B).

Answer 1

Solution :

If x = 6 , y = -2 ,

Coordinates of A = ( 6,0)=(x,0)

Coordinates of B = (0,-2) = ( 0,y)

d(A,B) = √x² + y²

= √ 6² + (-2)²

= √36 + 4

= √40

= 2√10

Therefore ,

d( A , B ) = 2√10

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Answer 2

$x = 6 \\ y = 2$
Coordinates of A=(x,0)=(6,0)
Coordinates of B=(0,y)=(0,-2)

Using distance formula
d(A,B)
$= \sqrt{ {(0 - 6)}^{2} + {( - 2 - 0)}^{2} } \\ = \sqrt{ {( - 6)}^{2} + {( - 2)}^{2} } \\ = \sqrt{36 + 4} \\ = \sqrt{40}$

So the distance between A and B is ✓40=2✓10