Find the standard form of the equation with endpoints of a diameter at points (1,4) and (-5,8)

Paxton Hoffman

Paxton Hoffman

Answered question

2022-07-24

Find the standard form of the equation with endpoints of a diameter at points (1,4) and (-5,8)

Answer & Explanation

Monastro3n

Monastro3n

Beginner2022-07-25Added 15 answers

The center will lie at the midpoint of the two given points of the diameter. Hence the cordinates of center would be given as,
O ( 1 5 2 , 4 + 8 2 ) = O ( 2 , 6 )
the radius would be given by,
r = ( 2 1 ) 2 + ( 6 4 ) 2 = 13
Hence the standard form of equation would be given by,
( x + 2 ) 2 + ( y 6 ) 2 = 13

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