NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

The area (in sq. units) enclosed by the graphs of | x + y | = 2 and | x | = 1 is

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Correct answer

D. 8

Step-by-step solution

Given equation | x + y | = 2 represent two parallel lines x + y = 2 and x + y = − 2 . Also, the equation | x | = 1 represent two parallel lines x = 1 and x = − 1 Hence, the four lines combined together represent a parallelogram. Hence, required area = 2 1 + 3 2 · 2 = 8

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