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Show that the path of a moving point su...

Show that the path of a moving point such that its distances from two lines `3x - 2y = 5`and `3x + 2y = 5`are equal is a straight line.

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To show that the path of a moving point such that its distances from the lines \(3x - 2y = 5\) and \(3x + 2y = 5\) are equal is a straight line, we can follow these steps: ### Step 1: Define the point and the lines Let the moving point be \(P(h, k)\). The two lines can be expressed in the standard form: 1. Line 1: \(3x - 2y - 5 = 0\) 2. Line 2: \(3x + 2y - 5 = 0\) ### Step 2: Calculate the distance from the point to the lines ...
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