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Vector Algebra

Question
CBSEENMA12036123

The area (in sq. units) of the region
{(x, y} : x  ≥ 0, x + y ≤ 3, x2 ≥ 4y and y ≤ 1 +√x}

  • 5/2

  • 59/12

  • 3/2

  • 7/3

Solution

A.

5/2


Area space equals space integral subscript 0 superscript 1 space left parenthesis 1 space plus space square root of straight x right parenthesis space dx space plus integral subscript 1 superscript 2 space left parenthesis 3 minus straight x right parenthesis space dx space minus space integral subscript 0 superscript 2 straight x squared over 4 dx
space equals space 5 divided by 2 space

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