JEE Main 2017

JEE Main 2017 Mathematics question on Definite Integrals and Areas

The area (in sq units) of the region {(x,y):x≥0,x+y≤3,x2≤4y\{(x, y) : x \geq 0, x + y \leq 3, x^2 \leq 4y and y≤1+x}y \leq 1 + \sqrt{x}\} is
  1. A.
    5912\dfrac{59}{12}
  2. B.
    32\dfrac{3}{2}
  3. C.
    73\dfrac{7}{3}
  4. D.
    52\dfrac{5}{2}
Show answer

Correct option: D

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