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If |(a,b,aalpha+b),(b,c,balpha+c),(a alp...

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

A

a,b,c are in A.P.

B

a,b,c are in G.P.

C

a,b,c are in H.P.

D

`alpha` is not root of `ax^(2) + 2bx + c = 0 `

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The correct Answer is:
B
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
  1. suppose D= |{:(a(1),,b(1),,c(1)),(a(2),,b(2),,c(2)),(a(3),,b(3),,c(3...

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

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

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

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

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  6. 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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  7. 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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  8. If |{:(a,5x,p),(b,10y,5),(c,15z,15):}| = 125, then find the value of |...

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  9. If omega is the complex cube root of unity then |[1,1+i+omega^2,omeg...

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  10. For positive numbers x,y,s the numberical value of the determinant |{:...

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  11. If the value of (a + b + c)= 0 then determinant |{:(a-b-c,2a,2a),(2b,b...

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  12. If a1, a2, a3,....... are in G.P. then the value of determinant |(log(...

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  13. If adjB=A ,|P|=|Q|=1,t h e na d j(Q^(-1)B P^(-1)) is P Q b. Q A P c. P...

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  14. If A = [{:(1,tan x),(-tanx,1):}] , then the value of |A' A^(-1)|

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  15. The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

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  16. If A={:[(3,2),(0,1)]:}" then:(A^(-1))^(3)=

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  17. The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

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  18. If A= [{:(1,0,3),(2,1,1),(0,0,2):}] , then the value of |adj(adj A) | ...

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  19. If A = [{:(0,-1,2),(2,-2,0):}], B = [{:(0,1),(1,0),(1,1):}] and M = AB...

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  20. If for AX=B, B=[[9], [52], [0]] and A^(-1)=[[3, -(1)/(2), -(1)/(2)], [...

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