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Let A = [{:(1, sin theta , 1),(-sin thet...

Let `A = [{:(1, sin theta , 1),(-sin theta, 1 , sin theta),(-1 , - sin theta, 1):}]`, where `0 le theta le 2pi`. Then

A

Det `(A)=0`

B

Det`(A) epsilon(2,oo)`

C

Det`(A) epsilon(2,4)`

D

Det`(A) epsilon[2,4]`

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The correct Answer is:
D
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ACCURATE PUBLICATION-DETERMINANTS-Type-I (Multiple choice questions)
  1. If A=({:(a,2),(2,a):}) and |A|^(3)=-125, then a equals

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  2. Which of the following is correct :

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  3. Let A = [{:(1, sin theta , 1),(-sin theta, 1 , sin theta),(-1 , - sin ...

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

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  5. If A= diag (3, 2, 1) then det A is equal to

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  6. The value of the det. |[11,12,13],[12,13,14],[13,14,15]| is

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  7. Let A be a square matrix of order 3 xx 3. Then I kA I is equal to :

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  8. 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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  9. The value of the Det.|{:(2,a,abc),(2,b,bca),(2,c,cab):}| is

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  10. If area of triangle is 35 sq. units with vertices (2,-6), (5, 4) and (...

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  11. If area of triangle is 4 sq. units with vertices (-2, 0), (0, 4) and (...

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  12. Delta=|(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33))| an...

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  13. Let A be a non-singular matrix of order 3 xx 3. Then I adj. A I is equ...

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  14. Let A be a non-singular square matrix of order 3×3. Then abs(adjA) is

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  15. If A is a non-singular matrix of order 3 and |A| = 3, then |Adj. A| eq...

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  16. If A is a non-singular matrix of order 3 and |A| = 2, then | adj A| eq...

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  17. If A is a non-singular matrix of order 3 and |A| = 4, then |Adj. A| eq...

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  18. If A is an invertible square matrix of order 4, then |adj. A| is equal...

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  19. If A is non-singular matrix of order 3 and |A|=5 then |adj.A| equals :

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  20. If A is a matrix of order 3xx3 and abs (A) = 10 then abs (adj. A) is

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