If the points A ( 4 , 3 ) and B ( x , 5 ) are on the circl

Bailee Short 2022-06-25 Answered
If the points A ( 4 , 3 ) and B ( x , 5 ) are on the circle with center O ( 2 , 3 ) find the value of x.
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Answers (2)

candelo6a
Answered 2022-06-26 Author has 24 answers
Step 1
AB is a chord.
Midpoint: M = ( x / 2 + 2 , , 4 ) .
1) Slope AB:
m 1 := 5 3 x 4 = 2 x 4 .
2) Slope MO:
m 2 := 4 3 x / 2 + 2 2 = 2 / x . .
m 1 is perpendicular to m 2 :
m 1 m 2 = 1. .
Hence x / 2 2 = x / 2 ; ;
x = 2

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George Bray
Answered 2022-06-27 Author has 12 answers
Step 1
That would require the line segment AB to be the diameter for M to be equal to O which is not necessarily true.
It is possible that AB doesn't pass through O.

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