JEE Advanced Mathematics question

MathematicsDeterminantsJEE Advanced

Let and let be nonzero real numbers. Then the determinant

is divisible by

Answer: (A)

Solution

Take out of , out of and out of :

Δ=abc.

Apply . Every entry of becomes ; take it out:

Δ=abc (x+3) Missing argument for \xrightarrow\xrightarrow{→ -,\ →

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Question ID VK-108291