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Let A = ((0,2q,r),(p,q,-r),(p,-q,r)). If...

Let `A = ((0,2q,r),(p,q,-r),(p,-q,r))`. If `A A^(T) = I_(3)`, then `|p|` is

A

`1/sqrt5`

B

`1/sqrt2`

C

`1/sqrt3`

D

`1/sqrt6`

Text Solution

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The correct Answer is:
B
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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  2. Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...

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  3. Let A = ((0,2q,r),(p,q,-r),(p,-q,r)). If A A^(T) = I(3), then |p| is

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  4. The value of theta lying between 0 and pi/2 and satisfying the equatio...

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  5. The sum of the real roots of the equation |{:(x, -6, -1), (2, -3x, x...

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  6. If Delta(1) =|{:(x, sin theta, cos theta),(-sin theta, -x, 1),(cos the...

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  7. If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdot...

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  8. Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0. ...

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  9. If |(1,1,1),(2,b,c),(4,b^(2),c^(2))| and |A| = in [2, 16]. 2, b, c and...

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

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

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  12. 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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  13. Let A=[(2,b,1),(b,b^(2)+1,b),(1,b,2)] where b gt 0. Then the minimum v...

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  14. Let d in R, and A[{:(,-2,4+d,(sin theta-2)),(,1,(sin theta)+2,d),(,5,(...

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  15. If B = [{:(5, 2alpha, 1),(0, 2, 1),(alpha, 3, -1):}] is the inver...

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  16. Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost...

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

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  18. If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...

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  19. If [x] denotes the greatest integer le x, then the system of liner equ...

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

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