SOLUTION: Find an equation of the circle with endpoints of a diameter are P(−1, 3) and Q(5, −7)

Question 941871: Find an equation of the circle with endpoints of a diameter are
P(−1, 3) and Q(5, −7)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Find an equation of the circle with endpoints of a diameter are
P(, ) and QP(, )
an equation of the circle is ; so, we need the coordinates of the center (,) and the radius
First find the coordinates of the center : (,)
=>
=>
so, C (,) is the center
now find the radius ( u can find its length by taking the distance between one endpoint and C )
take (,) and P(, )
=>
= >
= >
= >
hence the equation is :

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SOLUTION: Find an equation of the circle with endpoints of a diameter are P(&#8722;1, 3) and Q(5, &#8722;7)

SOLUTION: Find an equation of the circle with endpoints of a diameter are P(−1, 3) and Q(5, −7)