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Area Under the Curves question

2017 · Shift 0 · Q38

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PYQ Library
JEE Main
Mathematics
Area Under the Curves
2017 · Shift 0 · Q38

Area Under the Curves question

2017 · Shift 0 · Q38

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

The area (in sq. units) of the region

\left\{ {\left( {x,y} \right):x \ge 0,x + y \le 3,{x^2} \le 4y\,and\,y \le 1 + \sqrt x } \right\}

is

A
${3 \over 2}$
B
${7 \over 3}$
C
${5 \over 2}$
D
${59 \over 12}$

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