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|1 5 Pi | Log E 5 Root 5| |log10^10 5 E| =

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Delta = | A A+b A+b+c| |3a 4a+3b 5a+4b+3c| |6a 9a+6b 11a+9b+6c| Where

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If Omega Be A Complex Cube Root Of Unity, Then

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If |y+z X Y| |z + X Z X| |x+y Y Z| = K(x+y+z)(x-z)^2, Then K =

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|b^2 -ab B-c Bc-ac| |ab-a^2 A-b B^2 - Ab| |bc - Ac C - A Ab - A^2| =

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If Alpha, Beta Are The Roots Of The Equation 2x^2 + 3x + 5 = 0, Then The Value Of The Determinant

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If |1+a 1 1| |1 1+b 1| |1 1 1+c| = 0. Then The Value Of

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|a^2 B^2 C^2| |(a+1)^2 (b+1)^2 (c+1)^2| |(a-1)^2 (b-1)^2 (c-1)^2| =

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If Omega Is An Imaginary Root Of Unity, Then The Value Of

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The Values Of X For Which The Following Determinant Equation,

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|b+c A A| | B C+a B| |c C A+b| =

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If Omega Is The Cube Root Of Unity, Then

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If |-a^2 Ab Ac| |ab -b^2 Bc| |ac Bc -c^2| = Ka^2b^2c^2, Then K =

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|1 1+ac 1+bc| |1 1+ad 1+bd| |1 1+ae 1+be| =

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If |x+1 3 5| |2 X+2 5| |2 3 X+4| = 0, Then X

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|b+c A-b A| |c+a B-c B| |a+b C-a C| =

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|1 1 1| |1 Omega^2 Omega| |1 Omega Omega^2| =

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|a-b-c 2a 2a| |2b B-c-a 2b| |2c 2c C-a-b| =

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If A Is Not Equal To 6, B, C Satisfy

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|sin^2 X Cos^2 X 1| |cos^2 X Sin^2 X 1| | -10 12 2| =

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|0 P-q P-q| |q-p 0 Q-r| |r-p R-q 0| =

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The Roots Of The Determinant Equation (in X)

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If A, B, C Are Different And

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If Delta = |x Y Z| |p Q R| |a B C|, Then

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If A, B, C Are In A.P., Then The Value Of

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|1/a A^2 Bc| 1/b B^2 Ca| |1/c C^2 Ab| =

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|a-1 A Bc| |b-1 B Ca| |c-1 C Ab| =

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The Determinant |4+x^2 -6 -2| |-6 9+x^2 3| |-2 3 1+x^2| Is Not Divisible By

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The Value Of The Determinant

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