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Let a − 2b + c = 1. If f(x) = | x+a x+2 x+1 | | x+b x+3 x+2 | | x+c x+4 x+3 |, then -

1. f(-50) = -1
2. f(50) = 1
3. f(50) = -501
4. f(-50) = 501

Correct answer: f(50) = 1

Solution

The correct option is right because when substituting x = 50 into the determinant of the matrix defined by f(x), the resulting calculations yield a value of 1, confirming that f(50) equals 1.

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