CircleMedium
Question
A circle is drawn touching the x-axis and centre at the point which is the reflection of (a, b) in the line y - x = 0. The equation of the circle is -
Options
A.x2 + y2 - 2bx - 2ay + a2 = 0
B.x2 + y2 - 2bx - 2ay + b2 = 0
C.x2 + y2 - 2ax - 2by + b2 = 0
D.x2 + y2 - 2ax - 2by + a2 = 0
Solution
Reflection of point (a, b)
on the line
y = x will be (b, a)
(x - b)2 + (y - a)2 = a2
x2 + y2 - 2bx - 2ay + b2 = 0.
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