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The area enclosed by the curve \(2|x| + 3|y| = 6\) is

Question and options

The area enclosed by the curve 2∣x∣+3∣y∣=62|x| + 3|y| = 6 is
  1. 12 square units
  2. 3 square units
  3. 4 square units
  4. 24 square units

Answer and explanation

Correct answer: A - 12 square units
Curve is a rhombus with vertices (+-3,0), (0,+-2); diagonals 6 and 4, area = 6*4/2 = 12.

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  • IPMAT Indore

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