Question

If `|(α, 3, 4),(1, 2, 1),(1, 4, 1)|` = 0, then the value of α is ______.

Options

• 1

• 2

• 3

• 4

Answer 1

If `|(α, 3, 4),(1, 2, 1),(1, 4, 1)|` = 0, then the value of α is 4.

Explanation:

If two rows/columns are identical in any determinant, the value becomes zero.

In given determinant on comparing C₁ and C₃.

We conclude α = 4.