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The system of equations 3x+2y+z=6,3x+4y+...

The system of equations `3x+2y+z=6,3x+4y+3z=14,6x+10y+8z=a` has infinite number of solutions if a=

A

8

B

12

C

24

D

36

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1D MCQ (LINEAR EQUATIONS)
  1. The system of equations alphax+y+z=alpha-1,x+alphay+z=alpha-1,x+y+alph...

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

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

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

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

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

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

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

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

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

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

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

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  14. If the system of equation x+y=6,x+2y+lamdaz=0, x+2y+3z=0 has no soluti...

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  15. If the system of equations x+2y+z=12,3x+y+2z=5,2x+lamday+2z=18 has non...

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  16. The system of equations 3x-y+4z=3, x+2y-3z=-2,6x+5y+lamdaz=-3 has non ...

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  17. If the system of equation ax+y+z=0, x+by+z=0, x+y+cz=0,(a,b,c!=1) has ...

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  18. If the system of linear equations x+2ay+az=0, x+3by+bz=0,x+4ch+cz=0 ha...

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  19. The number of real values of t such that the system of homogeneous equ...

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  20. Given that a alpha^(2)+2b alpha +c!=0 and that the system of equations...

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