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If alpha,beta,gamma are roots of the equ...

If `alpha,beta,gamma` are roots of the equation `x^(3)+px+q=0` then the value of `|{:(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta):}|` is

A

p

B

q

C

`p^(2)-2q`

D

0

Text Solution

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The correct Answer is:
D
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RESONANCE ENGLISH-MATRICES & DETERMINANT-SECTION-B
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  5. Find the non-zero roots of the equation. (i) Delta=|{:(,a,b,ax+b),(,...

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  6. If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...

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  8. If [{:(,e^(x),sin x),(,cos x,ln(1+x))]:}=A+Bx+Cx^(2)+....... then find...

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  9. If A and B are squar matrices of order 3 such that |A|=-1, |B|=3 then ...

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  10. Let A=[(cos^(- 1)x,cos^(- 1)y,cos^(- 1)z),(cos^(- 1)y,cos^(- 1)z,cos^...

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  12. If alpha,beta,gamma are roots of the equation x^(3)+px+q=0 then the va...

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  13. If a, b,c> 0 and x,y,z in RR then the determinant |((a^x+a^-x)^2,(a...

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  14. If a,b and c are non- zero real number then prove that |{:(b^(2...

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  15. The determinant |(b(1)+c(1),c(1)+a(1),a(1)+b(1)),(b(2)+c(2),c(2)+a(2...

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  16. If x,y,z in R & Delta =|(x,x+y,x+y+z),(2x,5x+2y,7x+5y+2z),(3x,7x+3y,9x...

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  17. if determinant |{:( cos (0 + phi),,-sin (0+phi),,cos 2phi),(sin 0,,cos...

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