Question 754138
Point A(1,3) and B (6,4) are extremities of a diameter of a circle. If P (x,y) is any point on this circle, find the equation that relates x and y.
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The diameter is the distance AB
{{{d^2 = 1^2 + 5^2 = 26}}}
{{{d = sqrt(26)}}}
{{{r = sqrt(26)/2}}}
The center is the midpoint of AB --> point C
C(7/2,7/2)
The circle's eqn is {{{(x - 7/2)^2 + (y - 7/2)^2 = 6.5}}}
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The eqn of the circle relates x & y