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

2021 · 1 Sep · 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. /2021 · 1 Sep · Shift 2 · Q31

Area Under the Curves question

2021 · 1 Sep · Shift 2 · Q31

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1
The area, enclosed by the curves y=sin⁡x+cos⁡xy = \sin x + \cos xy=sinx+cosx and y=∣cos⁡x−sin⁡x∣y = \left| {\cos x - \sin x} \right|y=∣cosx−sinx∣ and the lines x=0,x=π2x = 0,x = {\pi \over 2}x=0,x=2π​, is :
  1. A
    22(2−1)2\sqrt 2 (\sqrt 2 - 1)22​(2​−1)
  2. B
    2(2+1)2(\sqrt 2 + 1)2(2​+1)
  3. C
    4(2−1)4(\sqrt 2 - 1)4(2​−1)
  4. D
    22(2+1)2\sqrt 2 (\sqrt 2 + 1)22​(2​+1)
PreviousNext

More from Area Under the Curves

  • 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
  • The area (in sq. units) of the region, given by the set {(x,y)∈R×R∣x≥0,2x2≤y≤4−2x} is :2021 · MCQ