Question

A(2,3);B(-3,4)are two points if a point P moves such that the area of triangle PAB is 8.5 s.q units then find the locus of P​

Answer 1

Answer:

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Step-by-step explanation:

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 – 34x – 170y = 0.

=> The locus of P is x2 + 10xy + 25y2 – 34x – 170y = 0.