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|(0, sin alpha, sin beta),(sin alpha, 0,...

`|(0, sin alpha, sin beta),(sin alpha, 0, sin gamma),(sin beta, sin gamma, 0)|=|(1, sin alpha, sin beta),(sin alpha, 1, sin gamma),(sin beta, sin gamma, 1)|` , then

A

`sin alpha. sin beta. sin gamma=1`

B

`sin alpha + sin beta+sin gamma=1`

C

`sin^(2)alpha+sin^(2)beta+sin^(2)gamma=1`

D

0

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. |(sin alpha, cos alpha, sin (alpha+delta)),(sin beta, cos beta, sin(be...

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  2. |(cos alpha, sin alpha, cos (alpha+beta)),(- sin alpha, cos alpha, -si...

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  3. |(0, sin alpha, sin beta),(sin alpha, 0, sin gamma),(sin beta, sin gam...

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  4. A=[(1, cos (beta-alpha),cos(gamma-alpha)),(cos (alpha-beta), 1, cos(ga...

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

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

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

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

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  11. 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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  12. 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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  13. If alpha be a repeated root of a quadratic equation f(x) = 0 and A(x)...

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

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  15. If |[1+sin^(2)theta,cos^(2)theta,4sin4theta],[sin^(2)theta, 1+cos^(2)t...

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

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

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

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

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

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