If the points (2, 1) and (1,-2) are equidistant from the point (x, y), show that x + 3y = 0.
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Let the given point be P(x,y) Q(2,1) and R(1,-2)
A/q
PQ=PR
→√(2-x)^2+(1-y)^2=√(1-x)^2+(-2-y)^2
→(2-x)^2+(1-y)^2=(1-x)^2+(-2-y)^2
→4+x^2-4x+1+y^2-2y=1+x^2-2x+4+y^2+4y
→-4x+2x-2y-4y=0
→-2x-6y=0
→x+3y=0
Hence, Proved
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