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

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

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MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. If |(2x,5),(8,x)|=|(6,-2),(7,3)| , write the value of x.

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  2. The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...

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  3. If A,B and C are angles of a triangle, then the determinant: {:|(-1,...

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

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  5. Write the value {:|(x,x+1),(x-1,x)|

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  6. If matric A = {:|(3-2x,x+1),(2,4)| is singular, then x is equal to

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  7. The value of x from the equation {:|(x,2,3),(4,x,1),(x,2,5)|=0 is

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  8. If A is a square matrix of order 3 such that |adjA|=16, then |A| is

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  9. If {:|(2,3),(4,5)| = |(x,3),(2x,5)|, then the value of 'x' is ………..

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  10. The cofactor of a13 in {:|(2,-3,5),(6,0,4),(1,5,-7)| is

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  11. If A= diag (4, 2, 1) then det. A is equal to :

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  12. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

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  13. If a1,a2,a3,……………….. are in A.P., then the value of: {:|(a1,a2,1),(a...

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  14. The system of linear equations: 3x+y-z=2,x-z=1 and 2x+2y+az=5 has un...

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  15. Let I denote the 3xx3 and P be a matrix obtained by rearranging the co...

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  16. If A is matrix of order 3,such that A(adjA)=10I. Then |adjA|=

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  17. Without expanding the determinant at any stage, prove that {:|(x+1,x+2...

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  18. Consider the following statements: (i) If any two rows or coluns of a ...

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  19. Let A be a square matrix all of whose entries are integers. Which on...

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  20. Let omega ne 1 be a cube root of unity and S be the set of all non-...

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