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Letf(x)=(x^(2)-6x+5)/(x^(2)-5x+6). Then match the expressions/statements in List I with expression /statements in List II. |
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Answer» `a to p, r, s.` If `-1 lt x lt 1, " then "f(x)=((-ve)(-ve))/((-ve)(-ve))= +ve` ` :. f(x) gt 0` ALSO, `f(x)-1=(-x-1)/(x^(2)-5x+6)= -((x+1))/((x-2)(x-3))` For `-1 lt x lt 1, f(x)-1=(-(+ve))/((-ve)(-ve))= -ve` or `f(x) -1 lt 0 or f(x) lt 1` ` :. 0 lt f(x) lt 1` `B to q,s.` If `1 lt x lt 2, " then "f(x)=((-ve)(+ve))/((-ve)(-ve))= -ve` Therefore, `f(x) lt 0 " and, so,"f(x) lt 1.` `c to q,s.` If `3 lt x lt 5,` then `f(x)=((-ve)(+ve))/((+ve)(+ve))= -ve` Therefore, `f(x) lt 0 " and , so, "f(x) lt 1.` `d to p,r,s.` For `x gt 5, f(x) gt 0,` Also, `f(x)-1=(-(x+1))/((x-2)(x-5)) lt 0" for " x gt 5` `orf(x) lt 1,` ` :. 0lt f(x) lt 1` |
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