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Find the equation of the line through th...

Find the equation of the line through the point of intersection of, the lines `x-3y + 1 = 0` and `2x + 5y-9-0` and whose distance from the origin is `sqrt5`

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To find the equation of the line that passes through the point of intersection of the lines \(x - 3y + 1 = 0\) and \(2x + 5y - 9 = 0\) and whose distance from the origin is \(\sqrt{5}\), we can follow these steps: ### Step 1: Find the point of intersection of the two lines. To find the point of intersection, we can solve the two equations simultaneously. 1. From the first equation, express \(x\) in terms of \(y\): \[ ...
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