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The determinat Delta=|(b^2-ab,b-c,bc-ac)...

The determinat `Delta=|(b^2-ab,b-c,bc-ac),(ab-a^2,a-b,b^2-ab),(bc-ac,c-a,ab-a^2)|` equals

A

`(b-c)(c-a)(a-b)`

B

`abc(b-c)(c-a)(a-b)`

C

`(a+b+c)(b-c)(c-a)(a-b)`

D

0

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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. Prove that /\ |[a+bx, c+dx, p+qx],[-ax+b, cx+d, px+q],[u,v,w]|=(1-x^2...

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  2. Let Delta=|(1,sin theta, 1),(-sin theta, 1, sin theta),(-1,-sin theta,...

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  3. The determinat Delta=|(b^2-ab,b-c,bc-ac),(ab-a^2,a-b,b^2-ab),(bc-ac,c-...

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  4. If |{:(6i,-3i,1),(4,3i,1),(20,3,i):}|=x+iy,i=sqrt(-1) then

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  5. The number of distinct real roots of |s in x cos x cos x cos x s in x ...

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  6. if omega!=1 is a complex cube root of unity, and x+iy=|[1,i,-omega],[-...

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  7. If e^(lx)=cosx+isinx and x+iy=|(1,e^(pi i//4),e^(pi i//3)),(e^(-pi i...

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

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

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

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

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

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

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

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

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

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  17. 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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  18. 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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  19. The determinant Delta=|(al+a'l',am+a'm',an+a'n'),(bl+b'l',bm+b'm',bn...

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

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