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If a, b, c, d, e and f are in G.P, then ...

If `a, b, c, d, e` and `f` are in G.P, then the value of
`|[a^2,d^2,x],[b^2,e^2,y],[c^2 ,f^2,z]|` depends on

A

`x` and `y`

B

`x` and `z`

C

`y` and `z`

D

`x, y` and `z`

Text Solution

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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If a=1+2+4+ . . . . upto n terms b=1+3+9+. . . . upto n terms c=1+5...

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  2. If |[x-2,2x-3,3x-4],[x-4,2x-9,3 x-16],[x-8,2x-27,3 x-64]|=0 then x=

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  3. If a, b, c, d, e and f are in G.P, then the value of |[a^2,d^2,x],[b^...

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  4. The value of the determinant : Delta=|(a^2,a,1),(cosnx,cos(n+1)x,co...

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  5. If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1]...

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  6. |[x,1,y+z],[y,1,z+x],[z,1,x+y]|=

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  7. If x ne 0 and |[1,x,2x],[1,3x,5x],[1,3,4]|=0 then x=

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  8. The real part of [[cos alpha+i sin alpha, cos beta+i sin beta],[ sin ...

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  9. If a ne 6, b , c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0, then abc =

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  10. If d is the determinant of a square matrix A of order n, then the dete...

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  11. If |[cos(A+B), -sin (A+B), cos 2B],[sinA,cosA,sinB],[-cosA,sin A,cos...

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  12. |[1990,1991,1992],[1991,1992,1993],[1992,1993,1994]|=

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  13. |log e,log e^2,log e^3],[log e^2,log e^3,log e^4],[log e^3,log e^4,log...

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  14. If A=[[a1,b1,c1],[a2,b2,c2],[a3,b3,c3]] and B=[[ c1,c2,c2],[a1,a2,a3]...

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  15. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

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  16. If ||(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|=0 then a,b,c are

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  17. The constant term of the polynomial |(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,3...

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  18. If omega is an imaginary cube root of unity ,then the value of [{:(1,o...

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  19. [{:(sinalpha,cosalpha,sin(alpha+delta)),(sinbeta,cosbeta,sin(beta+delt...

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  20. If A= |(x,1,1),(1,x,1),(1,1,x)| and B = |(x,1),(1,x)|, " then " (dA)/(...

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