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

`|(cos alpha, sin alpha, cos (alpha+beta)),(- sin alpha, cos alpha, -sin (alpha + beta)),(1,1,1)|=`

A

`1+sin alpha+cos alpha`

B

`1+sin beta+cos beta`

C

`1+ sin alpha-cos alpha`

D

`1+sin beta-cos beta`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. |(cos (alpha+beta),-sin (alpha+beta),cos 2 beta),(sin alpha, cos alpha...

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

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

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  4. |(0, sin alpha, sin beta),(sin alpha, 0, sin gamma),(sin beta, sin gam...

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

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

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

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

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

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

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

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

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

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

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

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