The area bounded by the curves y=|x|-1 and y=-|x|+1 is

MHT CET 2026 Mathematics question

The area bounded by the curves and is

(A)1 sq.unit
(B)2 sq. unitsCorrect
(C) sq. units
(D)4 sq.units

Answer: (B)

Solution

The curves are two V-shapes: opens upward with vertex and opens downward with vertex . They meet where , i.e. at . The bounded region is a square (rhombus) with vertices . By symmetry, area

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Question ID VK-101698