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If the system of linear equations. ...

If the system of linear equations.
`x+ky+3z=0`
`3x+ky-2z=0`
`2x+4y-3z=0`
has a non-zero solution (x,y,z) then .`(xz)/(y^(2))` is equal to

A

30

B

`-10`

C

`10`

D

`-30`

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
  1. If the system of linear equations. x+ky+3z=0 3x+ky-2z=0 2x+4y...

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  2. if |{:(x-4,,2x,,3x),(2x,,x-4,,2x),(2x,,2x,,x-4):}|=(A+Bx)(x-A)^(2), th...

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  3. Let A be a matrix such that A* [(1 ,2) ,(0 ,3)] is a scalar matrix and...

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  4. The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a uniq...

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  5. If the system of linear equations x+ay+z=3 and x+2y+2z=6 and x+5y+3z=b...

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  6. Suppose A is any 3 × 3 non-singular matrix and (A -3I) (A-5I)=0, wher...

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  7. Let A=[(1,0,0),(1,1,0),(1,1,1)] and B=A^20 . Then the sum of the elem...

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  8. If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to

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  9. If S is the set of distinct values of 'b' for which the following ...

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  10. If s={x in [0,2pi]:|[0,cosx,-sinx],[sinx,0,cosx],[cosx,sinx,0]|=0} the...

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  11. The number of real values of for which the system of linear equation...

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  12. Let A be any 3xx3 invertible matrix. Thenwhich one of the following i...

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  13. For two 3xx3 matrices A and B, let A+B=2B' and 3A+2B=I3 where B' is t...

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  14. If A=|{:(,5a,-b),(,3,2):}| and A adj A=A A^(T), then 5a+b is equal to

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  15. The system of linear equations x+lambday-z=0, lambdax-y-z=0, x+y-lam...

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  16. The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...

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  17. about to only mathematics

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  18. Let A be a 3xx3 matrix such that A^2-5A+7I=0 then which of the stateme...

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  19. If {:A=[(-4,-1),(3,1)]:}, then the determint of the matrix (A^2016-2A^...

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  20. The set of all values of lambda for which the system of linear equ...

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