Circle
Radical Axis
Premium Question
Grade 11

Question:

The radical axis of the circles $x^2 + y^2 + 4x + 6y - 19 = 0$ and $x^2 + y^2 - 7 = 0$ is:
(1) $4x + 6y - 12 = 0$
(2) $4x + 6y + 12 = 0$
(3) $4x + 6y = 7$
(4) $4x - 6y - 12 = 0$

Step-by-Step Solution

Key Concept: Subtract $S_2$ from $S_1$: $(x^2 + y^2 + 4x + 6y - 19) - (x^2 + y^2 - 7) = 0$ gives $4x + 6y - 12 = 0$.
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Correct Answer: (1)

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