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|[a+x,a-x,a-x],[a-x,a+x,a-x],[a-x,a-x,a+...

|[a+x,a-x,a-x],[a-x,a+x,a-x],[a-x,a-x,a+x],[,1" AICBSE ",2015C]

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If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c = 1 then

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|{:(" "x," "c+x," "b+x),(" "c+x," "x," "a+x),(" "b+x," "a+x," "x):}|=0

If f(x)=|(1, x, x+1), (2x, x(x-1), (x+1)x), (3x(x-1), x(x-1)(x-2), (x+1)x(x-1))| then f(5000) is equal to 0 b. 1 c. 500 d. -500

f(x) = |{:(x+c_(1),,x+a,,x+a),(x+b,,x+c_(2),,x+a),(x+b,,x+b,,x+c_(3)):}| " and " g(x)= (C_(1) -x)(c_(3)-x) Coefficient of x in f(x) is

f(x) = |{:(x+c_(1),,x+a,,x+a),(x+b,,x+c_(2),,x+a),(x+b,,x+b,,x+c_(3)):}| " and " g(x)= (C_(1) -x)(c_(3)-x) Coefficient of x in f(x) is