CircleEasy
Question
If y + 3x = 0 is the equation of a chord of the circle, x2 + y2 − 30x = 0, then the equation of the circle with this chord as diameter is
Options
A.x2 + y2 − 3x − 9y = 0
B.x2 + y2 + 3x + 9y = 0
C.x2 + y2 − 3x + 9y = 0
D.x2 + y2 + 3x − 9y = 0
Solution
x2 + y2 - 30x + λ (y + 3x) = 0
centre ≡
centre lies on y + 3x = 0
⇒ λ = 9
circles is x2 + y2 - 3x + 9y = 0
centre ≡
centre lies on y + 3x = 0
⇒ λ = 9
circles is x2 + y2 - 3x + 9y = 0
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