CAT 2020 Question Paper | Quants Slot 1

CAT Previous Year Paper | CAT Quants Questions | Question 16

This question is from Coordinate Geometry. In this question, three inequalities are given. We have to find the area enclosed by these three inequalities. Coordinate Geometry question that appears in the CAT Exam broadly tests an aspirant on the concepts - Graphical Representation of Geometrical shapes, Distance between points, Section formula, Intercepts, Circles and so on. In CAT Exam, one can generally expect to get approx. 1 question from CAT Geometry: Coordinate Geometry.

Question 16 : The area of the region satisfying the inequalities |x| - y ≤ 1, y ≥ 0, and y ≤ 1 is


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Explanatory Answer

|x| – y = 1
y = |x| – 1
Co-ordinate Graphs of Moduli Functions
We got a trapezium with h = 1
And parallel sides = 2 and 4
= \\frac{1}{2})(2+4)×1
= 3 square units


The question is "The area of the region satisfying the inequalities |x| - y ≤ 1, y ≥ 0, and y ≤ 1 is"

Hence, the answer is, " 3"

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