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Consider the system of linear equations:...

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 unique solution

D

no solution

Text Solution

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The correct Answer is:
D
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MODERN PUBLICATION-UNIT TEST PAPER NO - 4 -SELECT THE CORRECT ANSWER
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  3. If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value o...

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  4. If alpha,beta are the roots of the equation ax^2+bx+c=0 and Sn=alpha^n...

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  5. if A=[[cos,sinx,0],[-sinx,cosx,0],[0,0,1]]=f(x) then A^-1

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

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  7. Let a,b and c be such that (b+c) ne 0 . If |(a,a+1,a-1),(-b,b+1,b-1)...

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  8. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

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  9. If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0, then D i...

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

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  11. If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...

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  12. If a1, a2, a3,....... are in G.P. then the value of determinant |(log(...

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  13. Given , 2x-y+2z=2, x-2y+z=-4, x+y+lambdaz=4, then the value of lam...

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  14. if A=[{:(alpha,2),(2, alpha):}] and |A^(3)|=125 then the value of alph...

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  15. If 1,omega,omega^2 are the cube roots of unity , then Delta=|(1,ome...

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  16. The number of values of k, for which the system of eauations: (k+1)x...

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  17. Let omega = - (1)/(2) + i (sqrt3)/(2), then the value of the determina...

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  18. If a gt 0 and discriminant of ax^(2) + 2bx + c is negative, then Del...

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  19. If l,m,n are the pth, qth, rth terms respectively of a G.P.(l,m,ngt0) ...

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

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