CircleEasy
Question
The intercept on the line y = x by the circle x2 + y2 - 2x = 0 is AB. Equation of the circle on AB as a diameter is
Options
A.x2 + y2 - x - y = 0
B.x2 + y2 - x + y = 0
C.x2 + y2 + x + y = 0
D.x2 + y2 + x - y = 0
Solution
Points of intersection of line y = x with x2 + y2 - 2x = 0 are (0, 0) and (1, 1)
hence equation of circle having end points of diameter (0, 0) and (1, 1) is
x2 + y2 - x - y = 0
hence equation of circle having end points of diameter (0, 0) and (1, 1) is
x2 + y2 - x - y = 0
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