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

If `alpha, beta, gamma` are the roots of `x^(3)+px+q=0` then `|(alpha, beta, gamma),(beta, gamma, alpha),(gamma, alpha, beta)|=`

A

0

B

p

C

q

D

`p^(2)-2q`

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The correct Answer is:
A
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AAKASH SERIES-MATRICES -DETERMINANTS- EXERCISE - II
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  8. If bc+ca+ab=18, and |(1,a^(2),a^(3)),(1,b^(2),b^(3)),(1,c^(2),c^(3))|=...

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  9. If a,b,c are positive and not all equal then |(a,b,c),(b,c,a),(c,a,b)|

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  10. |(a^(2)+x,ab,ac),(ab,b^(2)+x,bc),(ac,bc,c^(2)+x)|

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  11. Show that A=|{:(-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c):}|=4(a+b)(b+c...

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  13. If |(lamda^(2)+3lamda, lamda-1, lamda+3),(lamda+1, 2-lamda,lamda-4),(l...

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  15. If |(a,b,a alpha+b),(b,c, b alpha+c),(a alpha+b, b alpha+c,0)|=0 then

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  16. If a,b,c are the p^(th),q^(th),r^(th) terms in H.P. then |{:(bc,p,1),(...

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  17. If |(3x-8,3,3),(3,3x-8,3),(3,3,3x-8)|=0 then x=0

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  18. If a,b,c are different and |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 the...

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  19. If x=-1 is a root of the equation |{:(2-x,3,3),(3,4-x,5),(3,5,4-x):}|=...

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