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If A = [(1,sin theta, 1),(-sintheta, 1, ...

If `A = [(1,sin theta, 1),(-sintheta, 1, sin theta),(-1, -1sin theta, 1)]`, then for all `theta in ((3pi)/(4), (5pi)/(4))`, det (A) lies in the interval :

A

`(3/2,3]`

B

`[5/2,4)`

C

`(0,3/2]`

D

`(1,5/2]`

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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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  3. If A = [(1,sin theta, 1),(-sintheta, 1, sin theta),(-1, -1sin theta, 1...

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  4. |(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)|

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  5. Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...

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  10. Let A and B be two invertible matrices of order 3xx3. If det. (ABA^(T)...

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  13. Let lambda be a real number for which the system of linear equations ...

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  14. If the system of linear equation x+y+z=5, x+2y+2z = 6, x+3y + lambda z...

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  15. If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y...

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  16. If the system of linear equations x-2y + kz = 1, 2x + y+ z = 2, 3x-y...

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  17. The greatest value of for which the system of linear equations x-c...

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  18. The set of all values of lambda for which the system of linear equatio...

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  19. An ordered pair (alpha, beta) for which the system of linear equations...

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  20. If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=...

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