CATAlgebra > Medium171717181818151515212121✅ Correct Option: 1Related questions:CAT 2024 Slot 3The number of distinct integer solutions (x,y)(x, y)(x,y) of the equation ∣x+y∣+∣x−y∣=2|x + y| + |x - y| = 2∣x+y∣+∣x−y∣=2, isCAT 2020 Slot 2In how many ways can a pair of integers (x,a)(x, a)(x,a) be chosen such that x2−2∣x∣+∣a−2∣=0x^2 - 2 | x | + | a - 2 | = 0x2−2∣x∣+∣a−2∣=0?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 to