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If A,B and C are angles of a triangle th...

If `A,B` and `C` are angles of a triangle then the determinant
`|(-1,cosC,cosB),(cosC,-1,cosA),(cosB,cosA,-1)|` is equal to

A

`0`

B

`-1`

C

`1`

D

None of these

Text Solution

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The correct Answer is:
A
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MODERN PUBLICATION-DETERMINANTS-OBJECTIVE TYPE QUESTIONS (Multiple choice question)
  1. Let A be a non-singular square matrix of order 3 xx3. Then |adj A| is ...

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  2. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

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  3. Choose the correct answer in questions 17 to 19: If a, b, c are in ...

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  4. Choose the correct answer If x, y, z are nonzero real numbers then th...

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  5. Let A=[(1,sintheta, 1),(-sintheta, 1, sintheta),(-1, -sintheta, 1)], w...

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  6. If |(2x,5),(8,x)|=|(6,-2),(7,3)| then the value of x is

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  7. Let Delta(1)=|{:(Ax,x^(2),1),(By,y^(2),1),(Cz,z^(2),1):}| and Delta(2)...

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  8. If x , y in R , then the determinant =|cosx-sinx1sinxcosx1cos(x+y)-si...

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  9. If the area of a triangle with vertices (-3,0),(3,0) and (0,0 is 9 sq....

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  10. If A,B and C are angles of a triangle then the determinant |(-1,cosC...

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  11. If A is a sqaure matrix of order 3xx3 and |A|=5, then |adj.A| is

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  12. The value of 'x' for which |{:(3,x),(x,1):}|=|{:(3,2),(4,1):}| is

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  13. Evalute the determinants in queations 1 and 2 : If |{:(x,2),(18,x):}...

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  14. If A is a matrix of order 3xx3 and |A|=10 , then |adj.A| is

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  15. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

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  16. If |{:(2,3-x),(1,4):}|=0, then value of 'x' is

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  17. If |{:(x,12),(3,x):}|=|{:(6,18),(2,6):}|, then value of 'x' is

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  18. Let A be a non-singular square matrix of order 3 xx3. Then |adj A| is ...

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  19. If A and B are invertible matrices of the same order, then (AB)' is eq...

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  20. If determinant A is order 2xx2 and |A|=3, then the value of |2A| is

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