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|(sin alpha, cos alpha, sin (alpha+delta...

`|(sin alpha, cos alpha, sin (alpha+delta)),(sin beta, cos beta, sin(beta+delta)),(sin gamma, cos gamma, sin (gamma+delta))|=`

A

0

B

1

C

`cos alpha cos beta cos gamma`

D

`sin alpha sin beta sin gamma`

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A
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. A factor o |((a-x)^(2),(b-x)^(2),(c-x)^(2)),((a-y)^(2),(b-y)^(2),(c-y)...

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

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  3. |(sin alpha, cos alpha, sin (alpha+delta)),(sin beta, cos beta, sin(be...

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

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  5. |(0, sin alpha, sin beta),(sin alpha, 0, sin gamma),(sin beta, sin gam...

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

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

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

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

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

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  13. 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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  14. 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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  15. If alpha be a repeated root of a quadratic equation f(x) = 0 and A(x)...

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

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

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

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

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

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