Question

find the relation between X and Y if the point P (x,y) is equal distance from the point (2,1) and (1,-2)​

Answer 1

Answer:

BOTH X AN Y ARE EQUAL

x:y=1:1

step by step explanation:-

LET Q= (2,1)

LET R = (1,-2)

PR=√(1-x)²+(-2-y)²                  &            PQ=√(2-x)²+(1-y)²

=√1+x²-2x+4+y²-4y                   &            PQ=√4+x²-4x+1+y²-2y

=√x²-2x-4y+5                            &            PQ=√x²-4x-2y+5

AS PQ=PR

(PQ)²=(PR)²

x²-2x-4y+5=x²-4x-2y+5

∴x²-x²-2x-4y+5-5=-4x-2y

∴-2x-4y=-4x-2y

∴-2x+4x=-2y+4y

∴ 2x = 2y

∴ x=y

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