JEE Main 20209 Jan, Evening shiftMathematicsEasySets, Relations and Functions168× since 2002Let a – 2b + c = 1. If f(x)=∣x+ax+2x+1x+bx+3x+2x+cx+4x+3∣f(x)=\left| {\matrix{ {x + a} & {x + 2} & {x + 1} \cr {x + b} & {x + 3} & {x + 2} \cr {x + c} & {x + 4} & {x + 3} \cr } } \right|f(x)=x+ax+bx+cx+2x+3x+4x+1x+2x+3, then:AOption A. ƒ(50) = 1BOption B. ƒ(–50) = –1COption C. ƒ(50) = –501DOption D. ƒ(–50) = 501CheckSkip · show solution