CATAlgebra > Easy1110002\sqrt{2}232\sqrt{\frac{3}{2}}23✅ Correct Option: 1Related questions:CAT 2023 Slot 1The number of integer solutions of equation 2∣x∣(x2+1)=5x22|x|\left(x^{2}+1\right)=5 x^{2}2∣x∣(x2+1)=5x2 isCAT 2022 Slot 1Let 0≤a≤x≤1000 \leq a \leq x \leq 1000≤a≤x≤100 and f(x)=∣x−a∣+∣x−100∣+∣x−a−50∣f(x)=|x-a|+|x-100|+|x-a-50|f(x)=∣x−a∣+∣x−100∣+∣x−a−50∣. Then the maximum value of f(x)f(x)f(x) becomes 100100100 when aaa is equal toCAT 2021 Slot 1If r a constant such that ∣x2−4x−13∣=r|x^2 - 4x - 13| = r∣x2−4x−13∣=r has exactly three distinct real roots, then the value of r is