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

`|(cos (alpha+beta),-sin (alpha+beta),cos 2 beta),(sin alpha, cos alpha, sin beta),(-cos alpha, sin alpha, cos beta)|` is independent of

A

`beta`

B

`alpha`

C

`alpha` and `beta`

D

neigher `beta` nor `alpha`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. Prove that |{:((1+ax)^(2),(1+ay)^(2),(a+az)^(2)),((1+bx)^(2),(1+by)^(2...

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  2. A factor o |((a-x)^(2),(b-x)^(2),(c-x)^(2)),((a-y)^(2),(b-y)^(2),(c-y)...

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

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

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

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  6. |(0, sin alpha, sin beta),(sin alpha, 0, sin gamma),(sin beta, sin gam...

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

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

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

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

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

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  14. 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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  15. 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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  16. If alpha be a repeated root of a quadratic equation f(x) = 0 and A(x)...

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

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

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

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

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