CATAlgebra > Medium−24-24−24−4-4−4−8-8−8−16-16−16✅ Correct Option: 4Related questions:CAT 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 isCAT 2024 Slot 2If x and y are real numbers such that ∣x∣+x+y=15|x| + x + y = 15∣x∣+x+y=15 and x+∣y∣−y=20x + |y| - y = 20x+∣y∣−y=20, then (x−y)(x - y)(x−y) equals