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Prove that |{:(1, a, a^(2)-bc),(1, b, b...

Prove that `|{:(1, a, a^(2)-bc),(1, b, b^(2)-ca), (1, c, c^(2)-ab):}|=0`

A

0

B

`a+b+c`

C

`1/2(a^(2)+b^(2)+c^(2))`

D

None of these

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MCGROW HILL PUBLICATION-DETERMINANTS-SOLVED EXAMPLES (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  2. Let Delta=|(1,-4,20),(1,-2,5),(1,2,5x^(2))| Solution set of Delta=0 is

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  3. Prove that |{:(1, a, a^(2)-bc),(1, b, b^(2)-ca), (1, c, c^(2)-ab):}|=...

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  8. Using properties of determinants, prove that |b+c q+r y+z c+a r+p ...

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  10. If a=omega!=1, is a cube root of unity b=785,c=2008i and Delta=|(a,a...

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  13. Suppose x=-1/3(1+sqrt(7)i) and y="cos"(pi)/4+I"sin"(pi)/4 Let Delta=...

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  14. Let x="cos"(pi)/3+i "sin"(pi)/3 and Delta=|(1,x,x^(2)),(x^(2),1,x),(...

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  15. Let f(x)=[2^(-x^(2))[2x^(2)]],x epsilon R ( [ ] denotes the greatest i...

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  18. If x=-9 is a root of |(x,3,7),(2,x,2),(7,6,x)|=0 then other two roots ...

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  19. Delta(1)=|{:(x,b,b),(a,x,b),(a,a,x):}| and Delta(2)=|{:(x,b),(a,x):}| ...

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