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Let A = (2, 3) and B = (-3, 4). If P is a moving point such that the area of ΔPAB is 17/2 sq. units, then find the locus of P.

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Let A = (2, 3) and B = (-3, 4). If P is a moving point such that the area of  ΔPAB is 17/2 sq. units, then find the locus of P.

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Let P = (x,y) . Then

Area of  ΔPAB = 17/2

Hence, the equation of the locus is 5x + 2y – 16 = 0. 

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