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If A,B,C are th angle of a equilateral D...

If A,B,C are th angle of a equilateral `DeltaABC`, then `|(sin2A,sinC,sinB),(sinC,sin2B,sinA),(sinB,sinA,sin2C)|=`

A

-1

B

1

C

0

D

`sin2A+sin2B+sin2C`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
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  2. If A+B+C=pi then |(sin^(2)A,cotA,1),(sin^(2)B,cotB,1),(sin^(2)C,cotC,1...

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  3. If A,B,C are th angle of a equilateral DeltaABC, then |(sin2A,sinC,sin...

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  4. For all values of A, B, C and P, Q, R |(cos(A-P), cos(A-Q),cos(A-R))...

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  5. |(x^(3)+x,x+1,x-2),(2x^(3)+3x-1,3x,3x-3),(x^(3)+2x+3,2x-1,2x-1)|=xA+B ...

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  6. If |(lamda^(2)+3lamda, lamda-1, lamda+3),(lamda+1, 2-lamda,lamda-4),(l...

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  7. If |(lamda^(2)+3lamda, lamda-1, lamda+3),(lamda+1, 2-lamda,lamda-4),(l...

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  8. If a^(2)+b^(2)+c^(2)=-2 and f(x)=|(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((1...

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  9. If f(r)(x),g(r)(x),h(r)(x),r=1,2,3 are polynomials in x such that f(r)...

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  10. If alpha be a repeated root of a quadratic equation f(x) = 0 and A(x)...

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  11. Let the three digit number A28, 3B9,62C, where A,B,C are integers betw...

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  13. With the usual notation in DeltaABC det|(1,1,1),(sinA,sinB,sinC),(sin^...

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  14. If A,B,C are the angles of a triangles then Delta=|(-1,cosC, cosB),(co...

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  15. If A+B+C=pi then the value of |(sin(A+B+C), sinB, cosC),(-sinB,0,tanA)...

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  16. If f(x)=|(2cosx,1,0),(x-pi//2,2cosx,1),(0,1,2cosx)| then (df)/(dx) at ...

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  17. f(x)=|(2 cosx, 1, 0),(x-(pi)/2, 2 cos x, 1),(0, 1, 2cosx)|impliesf'(pi...

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  18. If f(x)=|(x^(n),sinx,cosx),(n!,sin(npi//2),cos(npi//2)),(a,a^(2),a^(2)...

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  19. If f(x)=|(sec^(2)x,1,1),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cot...

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  20. If f(x)=|(secx, cosx, sec^(2)x+cot x cosecx),(cos^(2)x,cos^(2)x,cosec^...

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