A (2, 3) , B (-3, 4) are two points. If a point P moves such that the area of the triangle PAB is 8.5
square units, then find the locus of P
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Let P = (x, y). Given condition is, area of ΔPAB = 8.5 sq. unit. => |5(3 – y) + 1(2 – x)| = 17 => |–(x + 5y – 17)| = 17 => (x + 5y – 17)2 = 172 =>x2 + 10xy + 25y2 – – 170y = 0.
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