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The area enclosed by 2|x| + 3|y| ≤ 6 is

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The area enclosed by 2|x| + 3|y| ≤ 6 is

(a)  3 Sq-units

(b)  12 Sq.units

(c)  9 Sq.units

(d)  24Sq.units 

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1 Answer

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Best answer

Correct option  (b) 12 Sq.units

Explanation:

2x + 3y ≤ 6, x ≥ 0, y ≥ 0

2x - 3y ≤ 6, x ≥ 0,  y ≤ 0

- 2x + 3y ≤ 6, x ≥ 0,  y ≤ 0

- 2x - 3y ≤ 6,  x ≤ 0, y ≤ 0

Form a rhombus with diagonals 4 & 6.

Area = 1/2 x 4 x 6 = 12 sq. units.

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