CATAlgebra > Hard−24-24−24−4-4−4−8-8−8−16-16−16✅ Correct Option: 4Related questions:CAT 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 2Let f(x)=2x–5f(x) = 2x – 5f(x)=2x–5 and g(x)=7–2xg(x) = 7 – 2xg(x)=7–2x. Then ∣f(x)+g(x)∣=∣f(x)∣+∣g(x)∣|f(x) + g(x)| = |f(x)| + |g(x)|∣f(x)+g(x)∣=∣f(x)∣+∣g(x)∣ if and only ifCAT 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?