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Determine the nature of the quadrilatera...

Determine the nature of the quadrilateral formed by four lines `3x+4y -5=0, 4x-3y-5=0; 3x + 4y - 5 = 0 and 4x-3y + 5 = 0` Find the equation of the circle insc quadrilateral inscribed and circumscribing this quadrilateral.

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To solve the problem, we need to determine the nature of the quadrilateral formed by the four given lines, and then find the equations of the inscribed and circumscribed circles. ### Step 1: Identify the lines and their slopes The given lines are: 1. \( L_1: 3x + 4y - 5 = 0 \) 2. \( L_2: 4x - 3y - 5 = 0 \) 3. \( L_3: 3x + 4y - 5 = 0 \) (which is the same as \( L_1 \)) 4. \( L_4: 4x - 3y + 5 = 0 \) ...
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