Question

Find the distance between the following points
(i) A = (2, 0) and B(0, 4)
(ii) P(0, 5) and Q(12, 0)

Answer 1

Hi ,

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We know that ,

The distance between the two points


A( x1 , y1 ) , B( x2 , y2 ) is

AB = √ ( x2 - x1 )² + ( y2 - y1 )²

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Now ,

1 ) A( 2 , 0 ) = ( x1 , y1 )

B ( 0 , 4 ) = ( x2 , y2 )

AB = √ ( x2 - x1 )² + ( y2 - y1 )²

= √ ( 0 - 2 )² + ( 4 - 0 )²

= √ ( -2 )² + 4²

= √ 4 + 16

= √ 20

= √ ( 2 × 2 ) × 5

AB = 2√5

2 ) P( 0 , 5 ) = ( x1 , y1 ),

Q( 12 , 0 ) = ( x2 , y2 )

PQ = √ ( 12 - 0 )² + ( 0 - 5 )²

= √ 12² + 5²

= √ 144 + 25

= √ 169

PQ = √ 13 × 13

PQ = 13

I hope this helps you.

: )

Answer 2

HOPE IT IS USEFUL FOR YOU

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