Q1.Consider the system of equations in three variables x,y,z:
x+y+z2x+3y+kz3x+5y+(k+1)z=3=6=9
where k is a real parameter. Consider the following statements:
S1: The system has a unique solution if k=2.
S2: The system has no solution if k=2.
S3: The system has infinitely many solutions for some value of k.
Choose the correct option.
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Q1
15 Mar 2026
Q1.Consider the system of equations in three variables x,y,z:
x+y+z2x+3y+kz3x+5y+(k+1)z=3=6=9
where k is a real parameter. Consider the following statements:
S1: The system has a unique solution if k=2.
S2: The system has no solution if k=2.
S3: The system has infinitely many solutions for some value of k.
Choose the correct option.
