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If a, b, c are complex numbers, then the...

If a, b, c are complex numbers, then the determinant
`Delta = |(0,-b,-c),(bar(b),0,-a),(bar(c),bar(a),0)|`, is

A

purely real

B

purely imaginary

C

complex

D

0

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
  1. If |{:(x^(2) +x , 3x - 1 , -x + 3),(2x +1 , 2 + x^(2) , x^(3) - 3),(x ...

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  2. Matrix M(r) is defined as M(r) = ({:(r,r-1),(r-1,r):}), r in N. The v...

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  3. If a, b, c are complex numbers, then the determinant Delta = |(0,-b,...

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  4. If in a triangle ABC, |{:(1, sin A ,sin^(2)A),(1,sin B , sin^(2)B),(1,...

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  5. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

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  6. If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos ...

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  7. If plambda^(4) + q lambda^(3) + r lambda^(2) + s lambda + t = |{:(b^(...

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  8. If a,b,c are in A.P then the value of |[x+1, x+2, x+a] , [x+2, x+3, x+...

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  9. |[sin^2(13^@),sin^2(77^@),tan135^@],[sin^2(77^@),tan135^@,sin^2(13^@)]...

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  10. The roots of the equations |{:(1+x,3,5),(2,2+x,5),(2,3,x+4):}| = 0 are

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  11. The value of the determinant |((a^x+a^-x)^2, (a^x-a^-x)^2, 1),(b^x+b^-...

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  12. If a, b, c, are in A.P, find value of |a y+4 5y+7 8y+a3y+5 6y+8 9y+b4...

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  13. suppose D= |{:(a(1),,b(1),,c(1)),(a(2),,b(2),,c(2)),(a(3),,b(3),,c(3...

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  14. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

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

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  16. If z = |{:(-5,3+4i,5-7i),(3-4i,6,8+7i),(5+7i,8-7i,9):}|, then z is

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  17. For how many values of 'x' in the closed interval [-4,-1] is the matri...

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  18. The value of the determinant |{:(1+x,2,3,4),(1,2+x,3,4),(1,2,3+x,4),(1...

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  19. Determinant |{:(a+b+nc,(n-1)a,(n-1)b),((n-1)c,b+c+na,(n-1)b),((n-1)c,(...

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  20. If |{:(a,5x,p),(b,10y,5),(c,15z,15):}| = 125, then find the value of |...

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