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If alpha,beta,gamma are real numbers, th...

If `alpha,beta,gamma` are real numbers, then determinant `Delta=|(sin^2 alpha,cos 2 alpha,cos^2 alpha),(sin^2 beta,cos 2 beta,cos^2 beta),(sin^2 gamma,cos 2 gamma,cos^2 gamma)|`equals

A

0

B

`-1`

C

`sin^(2)alpha+sin^(2)beta+sin^(2)gamma`

D

None of these

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-DETERMINANTS-EXERCISE (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If a,b,c are non-zero real number such that |(bc,ca,ab),(ca,ab,bc),(ab...

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  2. The determinant Delta =|(lamda a , lamda^(2)+a^(2),1),(lamda b,lamda^(...

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  3. If alpha,beta,gamma are real numbers, then determinant Delta=|(sin^2 a...

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  4. If bc+ca+ab=18 and |(1,a^(2),a^(3)),(1,b^(2),b^(3)),(1,c^(2),c^(3))...

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  5. If x!=0 the determinant Delta=|(a(0),a(1),a(2)),(-x,x,0),(0,-x,x)| ...

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  6. If x epsilon R the determinant Delta=|(1,cosx,0),(-1,1-cosx,sinx+cos...

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  7. The factors of |(x,a,b),(a,x,b),(a,b,x)|, are

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  8. Find the maximum value of |1 1 1 1 1+sintheta1 1 1 1+costheta|

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  9. If |(x +a,b,c),(a,x +b,c),(a,b,x +c)| = 0, then x equals

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  10. The determinant |(sec^(2)theta, tan^(2)theta,1),(tan^(2)theta, sec^(...

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  11. If Delta=|(-a,2b,0),(0,-a,2b),(2b,0,-a)|=0 then

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  12. The determinant Delta=|(1,1+i,i),(1+i,i,1),(i,1,1+i)| equals

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  13. If a,b,c are non zero real numbers then Delta=|(1,ab,1/a+1/b),(1,bc,...

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  14. If a,b,c gt1 then Delta=|(log(a)(abc),log(a)b,log(a)c),(logb(abc),1,lo...

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

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

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

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

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

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