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

2022 · 30 Jun · Shift 1 · Q36
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. /2022 · 30 Jun · Shift 1 · Q36

Area Under the Curves question

2022 · 30 Jun · Shift 1 · Q36

JEE MainMathematicsArea Under the CurvesNumerical+4 / −1
If for some α\alphaα> 0, the area of the region {(x,y):∣x+α∣≤y≤2−∣x∣}\{ (x,y):|x + \alpha | \le y \le 2 - |x|\}{(x,y):∣x+α∣≤y≤2−∣x∣} is equal to 32{3 \over 2}23​, then the area of the region {(x,y):0≤y≤x+2α, ∣x∣≤1}\{ (x,y):0 \le y \le x + 2\alpha ,\,|x| \le 1\}{(x,y):0≤y≤x+2α,∣x∣≤1} is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Area Under the Curves

  • The area, enclosed by the curves y=sinx+cosx and y=∣cosx−sinx∣ and the lines x=0,x=2π​, is :2021 · MCQ
  • Let f:[−3,1]→R be given as f(x)={min{(x+6),x2}max{x​,x2}​−3≤x≤00≤x≤1​ If the area bounded by y=f(x) and x-axis is A…2021 · Numerical
  • The area bounded by the curve 4y2 = x2(4 − x)(x − 2) is equal to :2021 · MCQ
  • Let T be the tangent to the ellipse E : x2 + 4y2 = 5 at the point P(1, 1). If the area of the region bounded by the tangent T, ellipse E, lines x = 1 and x = 5​ is α5​+β+γ cos − 1 (5​1​)…2021 · Numerical
  • The area (in sq. units) of the region bounded by the curves x2 + 2y − 1 = 0, y2 + 4x − 4 = 0 and y2 − 4x − 4 = 0, in the upper half plane is ​.2021 · Numerical
  • The area (in sq. units) of the part of the circle x2 + y2 = 36, which is outside the parabola y2 = 9x, is :2021 · MCQ
  • The area of the region : R={(x,y):5x2≤y≤2x2+9} is :2021 · MCQ
  • The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area A. Then A4 is equal to ​.2021 · Numerical