If (p, p) is the solution of system of equations a x +b y+(t-s)=0 and b x+a y+(s-r)=0,(a ≠ b), th...

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If (p, p) is the solution of system of equations a x +b y+(t-s)=0 and b x+a y+(s-r)=0,(a ≠ b), then which of the following must be true?
(a) 2 r=s+t
(b) 2 t=r+s
(c) 2 s=r+t
(d) r+s+t=0

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