CATAlgebra > Medium−1-1−1000111222✅ Correct Option: 3Related 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 2017 Slot 1The area of the closed region bounded by the equation ∣x∣+∣y∣=2| x | + | y | = 2∣x∣+∣y∣=2 in the two-dimensional plane isCAT 2017 Slot 1The shortest distance of the point (12,1)\left(\frac{1}{2}, 1\right)(21,1) from the curve y=∣x−1∣+∣x+1∣y=|x-1|+|x+1|y=∣x−1∣+∣x+1∣ is