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Let A lies on 3x-4y+1=0, B lies on 4x+3y...

Let A lies on `3x-4y+1=0`, B lies on `4x+3y-7=0` and C is `(-2, 5)`. If ABCD is a rhombus, then the locus of D is a cobic whose length of the latus rectum is equal to

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