JEE Main 2017 Mathematics question
The number of real values of for which the system of linear equations , and , has infinitely many solutions, is:
Answer: (2)
Solution
A homogeneous system has a non-trivial (hence infinite) family of solutions precisely when its coefficient determinant vanishes:
= 0.
Expand along the first row:
2(2λ - 4) - 4(8 - 2λ) + (-λ)(8 - λ^2) = 0.
Simplifying term
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