Set, Relation and FunctionMedium
Question
A function f(x) is such that f(x) = 0 has 8 distinct real roots and f(x) = f(6 - x) for x ∈ R. Sum of real roots of the equation f(x) = 0 is -
Options
A.0
B.12
C.24
D.48
Solution
Corresponding to a root xi
6 - xi is also the root
∴ sum of roots = 6 × 4 = 24
6 - xi is also the root
∴ sum of roots = 6 × 4 = 24
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