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Question
A circle whose centre is the point of intersection of the lines 2x − 3y + 4 = 0 and 3x + 4y− 5 = 0 passes through the origin. Find its equation.
Solution
Let the required equation of the circle be
∴ \[a^2 = \left( \frac{1}{17} \right)^2 + \left( \frac{22}{17} \right)^2 = \frac{485}{289}\]
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