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Find the equation of the circle having (...

Find the equation of the circle having `(1,-2)` as its centre and passing through the intersection of the lines `3x+y=14 and 2x+5y=18.`

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To find the equation of the circle with center at (1, -2) that passes through the intersection of the lines \(3x + y = 14\) and \(2x + 5y = 18\), we can follow these steps: ### Step 1: Find the intersection point of the two lines. We have the equations: 1. \(3x + y = 14\) (Equation 1) 2. \(2x + 5y = 18\) (Equation 2) ...
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