Quantitative Aptitude – Modern Maths – Coordinate Geometry – Let S be the set of all points (x, y)

Slot – 1 – Quantitative Aptitude – Modern Maths – Coordinate Geometry – Let S be the set of all points (x, y)

Let S be the set of all points (x, y) – Video Solution

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Q. Let S be the set of all points (x, y) in the x-y plane such that | x | + | y | ≤ 2 and | x | ≥ 1. Then, the area, in square units, of the region represented by S equals?

Answer: 2

Solution: the graph of the two functions can be drawn as below:

Area of the shaded region = 2*(area of one shaded region) = 2*1/2 *1*2 = 2 unit

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