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If the matrix [(cos theta, sin theta, 0)...

If the matrix `[(cos theta, sin theta, 0),(sin theta, cos theta, 0),(0,0,1)]` is singular then `theta=`

A

`pi`

B

`pi//2`

C

`pi//3`

D

`pi//4`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
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  2. If ((1,2,x),(4,-1,7),(2,4,-6)) is a singular matrix, then x=

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  3. If the matrix [(cos theta, sin theta, 0),(sin theta, cos theta, 0),(0,...

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  4. If Delta=|(1, sin theta, 1 ),(-sin theta, 1, sin theta),(-1 , -sin the...

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  5. If |(3x-8,3,3),(3,3x-8,3),(3,3,3x-8)|=0 then x=0

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  6. If |(x,2,7),(5,0 ,2),(3,-4,6)|=-180 then x=

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  7. If one of the roots of |(3,5,x),(7,x,7),(x,5,3)|=0 is -10, then the ot...

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  8. If x!=0 and |(1,x,2x),(1,3x,5x),(1,3,4)|=0 then x=

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  9. |(x+2,x+3,x+5),(x+4,x+6,x+9),(x+8,x+11,x+15)|=

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  10. If |(x+1,x+2,x+4),(x+3,x+5,x+8),(x+7,x+10,x+14)|=

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  11. If |(1+x,1-x,1-x),(1-x,1+x,1-x),(1-x,1-x,1+x)|=0 then x=

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  12. If |(x,x+y,x+y+z),(2x,3x+2y,4x+3y+2z),(3x,6x+3y,10x+6y+3z)|=64 then x=

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  13. If |(a,a,x),(m,m,m),(b,x,b)|=0 then x=

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  14. If |(a,b,0),(0,a,b),(b,0,a)|=0 then

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  15. If a,b,c are different and |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 the...

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  16. If |(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3),c(3))|!= 0|(a(1)+b(1)...

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  17. If (b-c)^(2)!=(a-b)(c-a) and |(a+x,b+x,c+x),(b+x,c+x,a+x),(c+x,a+x,b+x...

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  18. If a+b+c=0 and |(a-x,c,b),(c,b-x,a),(b,a,c-x)|=0 then x=

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  19. If x=-9 is a root of |(x,3,7),(2,x,2),(7,6,x)|=0, then the other two r...

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  20. If alpha, beta, gamma are the roots of x^(3)+px+q=0 then |(alpha, beta...

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