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Roots of the equations `|{:(x,,m,,n,,1),(a,,x,,n,,1),(a,,b,,x,,1),(a,,b,,c,,1):}|=0` areA. independent of m and nB. independent of a,b and cC. depend on m,n and a,b,cD. inedependent of m,n and a,b,c |
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Answer» Correct Answer - A `|{:(x,,m,,n,,1),(a,,x,,n,,1),(a,,b,,x,,1),(a,,b,,c,,1):}| " "[R_(1) to R_(1) -R_(2) ,R_(2) to R_(2)-R_(3),R_(3) to R_(3) -R_(4)]` `" or " |{:(x-a,,m-x,,0,,0),(0,,x-b,,n-x,,0),(0,,0,,x-c,,0),(a,,b,,c,,1):}|=0` `" or "|{:(x-a,,m-x,,0),(0,,x-b,,n-x),(0,,0,,x-c):}|=0` `" or " (x-a) |{:((x-b),,n-x),(0,,(x-c)):}|=0` `" or " (x-a) (x-b) (x-c) =0` Thus roots are independent of m and n. |
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