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

Application of Derivatives question

2007 · Shift 0 · Q53
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Application of Derivatives
  5. /2007 · Shift 0 · Q53

Application of Derivatives question

2007 · Shift 0 · Q53

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
The function f(x)=tan⁡−1(sin⁡x+cos⁡x)f\left( x \right) = {\tan ^{ - 1}}\left( {\sin x + \cos x} \right)f(x)=tan−1(sinx+cosx) is an incresing function in
  1. A
    (0,π2)\left( {0,{\pi \over 2}} \right)(0,2π​)
  2. B
    (−π2,π2)\left( { - {\pi \over 2},{\pi \over 2}} \right)(−2π​,2π​)
  3. C
    (π4,π2)\left( { {\pi \over 4},{\pi \over 2}} \right)(4π​,2π​)
  4. D
    (−π2,π4)\left( { - {\pi \over 2},{\pi \over 4}} \right)(−2π​,4π​)
PreviousNext

More from Application of Derivatives

  • The function f(x)=2x​+x2​ has a local minimum at2006 · MCQ
  • A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length x. The maximum area enclosed by the park is2006 · MCQ
  • A lizard, at an initial distance of 21 cm behind an insect moves from rest with an acceleration of 2 cm/s2 and pursues the insect which is crawling uniformly along a straight line at a speed of 20 cm/s…2005 · MCQ
  • A function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched?2005 · MCQ
  • Area of the greatest rectangle that can be inscribed in the ellipse a2x2​+b2y2​=12005 · MCQ
  • A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm 3/min. When the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases is2005 · MCQ
  • A point on the parabola y2=18x at which the ordinate increases at twice the rate of the abscissa is2004 · MCQ
  • The real number x when added to its inverse gives the minimum sum at x equal :2003 · MCQ