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NDA 2017 Maths · Mathematics · Application of Integrals · easy

The area enclosed by the curve |x|+|y|=3 is

Single correct option

The area enclosed by the curve ∣x∣+∣y∣=3|x|+|y|=3 is
  1. A. 99 square units
  2. B. 3636 square units
  3. C. 1818 square units
  4. D. 1212 square units
Show answer and solution

Answer: (C) 1818 square units

The curve is a square with vertices (±3,0)(\pm3,0) and (0,±3)(0,\pm3), so its diagonals are 66 each. Area =12d1d2=12⋅6⋅6=18=\frac12d_1d_2=\frac12\cdot6\cdot6=18. The value 3636 treats the diagonal as the side, and 99 is the area of just one quadrant's square.
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Original question written in the NDA 2017 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake