The equation of the curve on reflection of the ellipse 16 ( x − 4 ) 2 + 9 ( y − 3 ) 2 = 1 about the line x − y − 2 = 0 is 16 x 2 + 9 y 2 + a x − 36 y + b = 0 then the value of a + b − 125 =

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The equation of the curve on reflection of the ellipse 16 ( x − 4 ) 2 ​ + 9 ( y − 3 ) 2 ​ = 1 about the line x − y − 2 = 0 is 16 x 2 + 9 y 2 + a x − 36 y + b = 0 then the value of a + b − 125 =

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Let P ( 4 , 0 ) & Q ( 0 , 3 ) are two points on given ellipse E 1 ​ P 1 ​ and Q 1 ​ are images of P , Q w.r.t. to x − y − 2 = 0 ∴ P 1 ​ ( 2 , 2 ) Q 1 ​ ( 5 , − 2 ) lies on E 2 ​ ∴ a = − 160 , b = 292

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