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Let a + b = 2c. If ax + by + c = 0 passe...

Let `a + b = 2c`. If `ax + by + c = 0` passes through A , `2bx - 2ay + c = 0` passes through B and C is point of intersection of lines then locus of point c is `px^2 + qy^2 + rx + y = 0`. Find the value of `p^2+q^2+r^2`

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