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The determination Delta=|{:(,b,c,balpha+...

The determination `Delta=|{:(,b,c,balpha+c),(,c,d,calpha+d),(,balpha+c,calpha+d,aalpha^(3)-calpha):}|` is equal to zero if

A

b,c,d are in A.P

B

b,c,d are in G.P

C

b,c,d are in H.P

D

`alpha` is a root of `ax^(3)-bx^(2)-3cx-d=0`

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The correct Answer is:
B, D
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RESONANCE-MATRICES & DETERMINANT-PART-III

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  10. If a non-singular matrix and A^(T) denotes the tranpose of A, then

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  11. Let "Let"(x)=|{:(,2sinx,sin^(2)x,0),(,1,2sin x,sin^(2)x),(,0,1,2sin x)...

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  12. Let Delta=|{:(,1,x,x^(2)),(,x^(2),1,x),(,x,x^(2),1):}|,then

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  13. Let f(x)=|{:(,1//x,logx,x^(n)),(,1,-1//n,(-1)^(n)),(,1,a,a^(2)):}| whe...

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  14. If D is determinant of order three of Delta is a determinant formed by...

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  15. Let A,B,C,D be real matrices such that A^(T)=BCD,B^(T)=CDA,C^(T)=DAB a...

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  16. Let A and B be two 2 xx 2 matrix with real entries, If AB=0 and such t...

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  17. If A^(-1)=[{:(,1,-1,0),(,0,-2,1),(,0,0,-1):}] then

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  18. IF A and B are squre matrices of order 3, then the true statement is/a...

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