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Consider the system of linear equations `x_(1)+2x_(2)+x_(3)=3, 2x_(1)+3x_(2)+x_(3)=3,3x_(1)+5x_(2)+2x_(3)=1` The system has

A

infinite number of solutions

B

exactly 3 solutions

C

a uniqe solution

D

non solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1D MCQ (LINEAR EQUATIONS)
  1. The number of nontrivial solutions of the system: x-y+z=0, x+2y=0, 2x+...

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  2. For the equations x+2y+3z=1, 2x+y+3z=2, 5x+5y+9z=4

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  3. Consider the system of linear equations x(1)+2x(2)+x(3)=3, 2x(1)+3x(2)...

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  4. The equations x+2y-z=3, 3x-y+2z=1, 2x-2y+3z=2 have

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  5. The equation x-y+2z=4,3x+y+4z=6, x+y+z=1 have

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  6. If the system of equation 3x-2y+z=0, lamda-14y=15z=0,x+2y+3z=0 has non...

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

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  8. If the system of equations x+y+z=6, x+2y+lamdaz=0, x+2y+3z=10 has no s...

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  9. The system of equations alphax+y+z=alpha-1,x+alphay+z=alpha-1,x+y+alph...

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  10. The number of values of k for which the system of equations: (k+1)x+...

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  11. The system of equations 3x+2y+z=6,3x+4y+3z=14,6x+10y+8z=a has infinite...

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  12. If the system of equations x+2y+3z=13, 3x+y+2z=12, 2x+3y+6z=0 has

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  13. The number of values of k for which the linear equations 4x+ky+2z=0, k...

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  14. If the system of equations 2x-3y+4z=0, 5x-2y-z=0 and 21x-8y+lamdaz=0 h...

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  15. The values of lamda for which the system of equations x+y-3=0, (1+ lam...

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  16. If the system of equations (k+1)^(3)x+(k+2)^(3)y=(k+3)^(2),(k+1)x+(k+2...

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  17. If the system of equations 3x-2y+z=0, lamdax-14y+15z=0,x+2y-3z=0 have ...

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  18. The equation x+y+z=6, x+2y+3z=10, x+2y+lamdaz=mu have unique solution ...

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  19. The system of equations x+y+z=6, x+2y+3z=10,x+2y+lamdaz=mu is inconsis...

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  20. The system of equations x+ky+3z=0, 3x+ky-2z=0, 2x+3y-4z=0 has a non t...

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