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Let `a ,b , c` be the real numbers. The following system of equations in `x ,y ,a n dz` `(x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(a^2)=1,(x^2)/(a^2)-(y^2)/(b^2)+(z^2)/(a^2)=1,-(x^2)/(a^2)+(y^2)/(b^2)+(z^2)/(a^2)=1` has a. no solution b. unique solution c. infinitely many solutions d. finitely many solutions

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RD SHARMA ENGLISH-SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS-All Questions
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  2. For the system of equitions: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4 there i...

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  3. Let a ,b , c be the real numbers. The following system of equations in...

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  4. The existence of the unique solution of the system of equations: x+y+z...

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  5. Let x=|(x1),(x2),(x3)|,A=|(1,-1, 2),( 2, 0, 1),( 3, 2, 1)|a n d B=[(3)...

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  6. The system of equations: x+y+z=5 x+2y+3z=9 x+3y+lambdaz=mu has a un...

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  7. The number of solution of the system of equations: x+y+z=2 2x+y-z=3, ...

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  8. The system of equation x+y+z=2,3x-y+2z=6a n d3x+y+z=-18 has (a) unique...

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  9. Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z...

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  10. Given A=[[1,-1, 0], [2, 3, 4], [0, 1, 2]], B= [[2,2,-4],[-4,2,-4],[2,-...

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  11. A mixture is to be made of three foods A ,\ B ,\ C . The three foods...

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  12. If a1x+b1y+c1z=0, a2x+b2y+c2z=0, a3x+b3y+c3z=0 and |(a1,b1,c1),(a2,b...

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  13. Solve the following system of homogeneous equations: x+y-z=0 x-2y+z=...

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  14. If A=[1-1 1 2 1-3 1 1 1], find A^(-1) and hence solve the system of li...

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  15. Show that the following system of equation is consistent. 2x-y+3z=5,3x...

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  16. Solve the following system of equations, using matrix method. x+2y+z=7...

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  17. The number of solutions of the system of equations: 2x+y-z=7 x-3y+2z=...

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  18. An amount of Rs 5000 is put into three investments at the rate of inte...

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  19. The sum of three numbers is 6. If we multiply the third number 2 and ...

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  20. Find A^(-1), where A=[1 2-3 2 3 2 3-3-4] . Hence solve the system of e...

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