Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Area Under the Curves question

2023 · 1 Feb · Shift 2 · Q31
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Area Under the Curves
  5. /2023 · 1 Feb · Shift 2 · Q31

Area Under the Curves question

2023 · 1 Feb · Shift 2 · Q31

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1
The area of the region given by {(x,y):xy≤8,1≤y≤x2}\{ (x,y):xy \le 8,1 \le y \le {x^2}\}{(x,y):xy≤8,1≤y≤x2} is :
  1. A
    16log⁡e2−14316{\log _e}2 - {{14} \over 3}16loge​2−314​
  2. B
    8log⁡e2−1338{\log _e}2 - {{13} \over 3}8loge​2−313​
  3. C
    16log⁡e2+7316{\log _e}2 + {7 \over 3}16loge​2+37​
  4. D
    8log⁡e2+768{\log _e}2 + {7 \over 6}8loge​2+67​
PreviousNext

More from Area Under the Curves

  • If the area of the region S={(x,y):2y−y2≤x2≤2y,x≥y} is equal to n+1n+2​−n−1π​, then the natural number n is equal to ​.2023 · Numerical
  • The area bounded by the curves y=∣x−1∣+∣x−2∣ and y=3 is equal to :2023 · MCQ
  • The area of the region {(x,y):x2≤y≤8−x2,y≤7} is :2023 · MCQ
  • Let the area enclosed by the lines x+y=2,y=0,x=0 and the curve f(x)=min{x2+43​,1+[x]} where [x] denotes the greatest integer ≤x, be A. Then the value of 12 A is ​…2023 · Numerical
  • Let y=p(x) be the parabola passing through the points (−1,0),(0,1) and (1,0). If the area of the region {(x,y):(x+1)2+(y−1)2≤1,y≤p(x)} is A, then 12(π−4A) is equal to ​.2023 · Numerical
  • If the area of the region {(x,y):​x2−2​≤y≤x} is A, then 6A+162​ is equal to ​.2023 · Numerical
  • Area of the region {(x,y):x2+(y−2)2≤4,x2≥2y} is2023 · MCQ
  • If A is the area in the first quadrant enclosed by the curve C:2x2−y+1=0, the tangent to C at the point (1,3) and the line x+y=1, then the value of 60 A is ​…2023 · Numerical