CAT 2020 Quant Question [Slot 1] with Solution 18

Given \(f(5 + x) = f(5 - x)\)

Put \(x = x - 5\)

\(f(x) = f(10 - x)\)

\(\therefore \) Let a, b be two roots of f(x)=0, then \(10 - a,10 - b\) are also roots of \(f(x) = 0\)

\(\therefore \) Hence sum of the roots \( = a + b + 10 - a + 10 - b = 20\)