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

Application of Integration question

2016 · Shift 2 · Q26
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Mathematics
  4. /Application of Integration
  5. /2016 · Shift 2 · Q26

Application of Integration question

2016 · Shift 2 · Q26

JEE AdvancedMathematicsApplication of IntegrationMCQ+3 / −1
Area of the region {(x,y)∈R2:y≥∣x+3∣,5y≤x+9≤15}\left\{ {\left( {x,y} \right) \in {R^2}:y \ge \sqrt {\left| {x + 3} \right|} ,5y \le x + 9 \le 15} \right\}{(x,y)∈R2:y≥∣x+3∣​,5y≤x+9≤15} is equal to
  1. A
    16{1 \over 6}61​
  2. B
    43{4 \over 3}34​
  3. C
    32{3 \over 2}23​
  4. D
    53{5 \over 3}35​
PreviousNext

More from Application of Integration

  • Let F(x)=x∫x2+6π​​2cos2t(dt) for all x∈R and f:[0,21​]→[0,∞] be a continuous function. For a∈[0,21​],…2015 · Numerical
  • Let f:R→R be a continuous odd function, which vanishes exactly at one point and f(1)=2.1​ Suppose that F(x)=−1∫x​f(t)dt for all x∈[−1,2]…2015 · Numerical
  • Let F:R→R be a thrice differentiable function. Suppose that F(1)=0,F(3)=−4 and F(x)<0 for all x∈(21​,3). Let f(x)=xF(x)…2015 · Multiple correct
  • The area enclosed by the curves y=sinx+cosxolimits and y=∣cosx−sinx∣ over the interval [0,2π​] is2013 · MCQ
  • Let S be the area of the region enclosed by y=e−x2, y=0, x=0, and x=1; then2012 · Multiple correct
  • Let the straight line x=b divide the area enclosed by y=(1−x)2,y=0, and x=0 into two parts R1​(0≤x≤b) and R2​(b≤x≤1) such that R1​−R2​=41​.…2011 · MCQ
  • Let f : [−1,2]→[0,∞] be a continuous function such that f(x)=f(1−x) for all x∈[−1,2] Let R1​=−1∫2​xf(x)dx,…2011 · MCQ
  • Let f be a real-valued function defined on the interval (0,∞) by f(x)=lnx+0∫x​1+sint​dt. then which of the following statement(s) is (are) true?2010 · Multiple correct