The reflection of the curve x y = 1 in the line y = 2 x is the curve 12 x 2 + r x y + s y 2 + t = 0 then the value of ' r ' is

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The reflection of ( α , β ) in the line y = 2 x is ​ ( α 1 ​ , β 1 ​ ) = ( 5 4 β − 3 α ​ , 5 4 α + 3 β ​ ) = α 1 ​ β 1 ​ = 1 ​ ⇒ 12 α 2 − 7 α β − 12 β 2 + 25 = 0 ​

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