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

2024 · 6 Apr · Shift 2 · Q39
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. /2024 · 6 Apr · Shift 2 · Q39

Area Under the Curves question

2024 · 6 Apr · Shift 2 · Q39

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1
If the area of the region {(x,y):ax2≤y≤1x,1≤x≤2,0<a<1}\left\{(x, y): \frac{\mathrm{a}}{x^2} \leq y \leq \frac{1}{x}, 1 \leq x \leq 2,0\lt \mathrm{a}\lt 1\right\}{(x,y):x2a​≤y≤x1​,1≤x≤2,0<a<1} is (log⁡e2)−17\left(\log _{\mathrm{e}} 2\right)-\frac{1}{7}(loge​2)−71​ then the value of 7a−37 \mathrm{a}-37a−3 is equal to :
  1. A
    1
  2. B
    0
  3. C
    2
  4. D
    −-− 1
PreviousNext

More from Area Under the Curves

  • Let the area of the region enclosed by the curve y=min{sinx,cosx} and the x axis between x=−π to x=π be A. Then A2 is equal to ​.2024 · Numerical
  • The area of the region in the first quadrant inside the circle x2+y2=8 and outside the parabola y2=2x is equal to :2024 · MCQ
  • The parabola y2=4x divides the area of the circle x2+y2=5 in two parts. The area of the smaller part is equal to :2024 · MCQ
  • The area (in square units) of the region enclosed by the ellipse x2+3y2=18 in the first quadrant below the line y=x is2024 · MCQ
  • Let the area of the region {(x,y):x−2y+4⩾0,x+2y2⩾0,x+4y2≤8,y⩾0} be nm​, where m and n are coprime numbers. Then m+n…2024 · Numerical
  • If the area of the region {(x,y):0≤y≤min{2x,6x−x2}} is A, then 12 A is equal to ​.2024 · Numerical
  • The area (in sq. units) of the part of the circle x2+y2=169 which is below the line 5x−y=13 is 2βπα​−265​+βα​sin−1(1312​), where α,β are coprime…2024 · Numerical
  • If the points of intersection of two distinct conics x2+y2=4b and 16x2​+b2y2​=1 lie on the curve y2=3x2, then 33​ times the area of the rectangle formed by the intersection points is ​…2024 · Numerical