Consider the system of equation x+y+z=6, x+2 y+3 z=10 and x + 2 y + z= STATEMENT - 1: If…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
Consider the system of equation \(x+y+z=6, x+2 y+3 z=10\) and
\(\mathbf{x}+\mathbf{2 y}+\lambda z=\mu\)
STATEMENT - 1: If the system has infinite number of solutions, then \(\mu\) = 10
STATEMENT - 2: The determinant \[\left|\begin{array}{ccc} 1 & 1 & 6 \\ 1 & 2 & 10 \\ 1 & 2 & \mu \end{array}\right|=0 \text { for } \mu=10\]
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(A) Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
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