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Mathematics Quiz
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The solution of x + 2y = 5, 2x â€“ y = 0 is
The solution of 3x + 4y = 1, 2x + 5y = 3 is
The solution of 7x + 5y â€“ 13z + 4 = 0, 9x + 2y + 11z = 37, 3x â€“ y + z = 2 is
The equations 2x + y â€“ 4z = 0, x â€“ 2y + 3z = 0, x â€“ y + z = 0 have
For the equations x + 2y + 3z = 1, 2x + y + 3z = 2, 5x + 5y + 9z = 4
If the system of equations 3x â€“ 2y + z = 0, Î»x + 14y + 15z = 0, x + 2y + 3z = 0 has nontrivial solution, then Î» =
If the system of equations x + y + z = 6, x + 2y + Î»z = 0, x + 2y + 3z = 10 has no solution then Î» =
The system of linear equations x + y + z = 2, 2x + y â€“ z = 3, 3x + 2y + kzÂ = 4 has a unique solution if
The system of equations 3x â€“ y + 4z = 3, x + 2y â€“ 3z = 2, 6x + 5y + λ z = 3 has at least one solution when
If the system of linear equations x + 2ay + az = 0, x + 3by + bz = 0, x + 4cy + cz = 0 has a non â€“ zero solution, then a, b, c
If A, B, C are the angles of a triangle, the system of equations (sin A) x + y + z = cos A, x + (sin B)y + z = cos B, x + y + (sin C)z = 1 â€“ cos C has
The system of equation 2x + y + z = a; x â€“ 2y + z = b; x + y â€“ 2z = c is inconsistent if