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If |{:(1,x,x^(2)),(x,x^(2),1),(x^(2),x,x...

If `|{:(1,x,x^(2)),(x,x^(2),1),(x^(2),x,x):}|` =3 then the value of `|{:(x^(3)-1,0,x-x^(4)),(0,x-x^(4),x^(3)-1),(x-x^(4),x^(3)-1,0):}|` is

A

`Delta=7`

B

`Delta=343`

C

`Delta=-49`

D

`Delta=49`

Text Solution

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-DETERMINANTS-EXERCISE (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If e^(lx)=cosx+isinx and x+iy=|(1,e^(pi i//4),e^(pi i//3)),(e^(-pi i...

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  2. If a,b,c,in R, find the number of real root of the equation |{:(x,c,-b...

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  3. If |{:(1,x,x^(2)),(x,x^(2),1),(x^(2),x,x):}| =3 then the value of |{:(...

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  4. If Delta=|(sin alpha, cos alpha, sin alpha+cos beta),(sin beta, cos al...

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  5. Suppose a,b,c epsilon R and a,b,c gt 0. Let Delta=|(loga, logb, logc...

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  6. The value of theta , lying between theta =0 and theta=(pi)/(2) and ...

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  7. Solve |{:(x^(2)-1,,x^(2)+2x+1,,2x^(2)+3x+1),(2x^(2)+x-1,,2x^(2)+5x-3,,...

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  8. If a(r)="cos"(2rpi)/9+i "sin"(2rpi)/9 then value of the determinant ...

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  9. If a!=p,b!=q,c!=r and the system of equations px+by+cz=0 ax+qy+cz=...

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  10. For a fixed positive integer n if D= |(n!, (n+1)!, (n+2)!),((n+1)!, (n...

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  11. If a, b, c are in A.P., and Delta=|[x+2,x+7,a],[x+5,x+11,b],[x+8,x+15,...

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  12. If Delta=|(1+y,1-y,1-y),(1-y,1+y,1-y),(1-y,1-y,1+y)|=0, then value of ...

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  13. The determinant Delta=|(al+a'l',am+a'm',an+a'n'),(bl+b'l',bm+b'm',bn...

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  14. If a =i, b = omega and C= omega^2, then the value of determinant |(a...

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  15. If Delta=|(1,1,1),(""^(m)C(1),""^(m+3)C(1),""^(m+6)C(1)),(""^(m)C(2),"...

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  16. Suppose a,b,c,x,y epsilon R. Let Delta=|(1,2+ax,3+ay),(1,2+bx,3+by),...

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  17. If A,B and C are angles of a triangle then the determinant |(-1,cosC...

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  18. Let f(x)=|(cosx,x,1),(2sinx,x^(2),2x),(tan x,x,1)| then lim(xto0)(f(x)...

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  19. If omega is a complex cube root of unity, then value of Delta=|(a(1)+...

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  20. If p q r!=0 and the system of equation (p+a)x+b y-c z=0 a x+(q+b)y+c ...

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