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

2005 · Shift 0 · Q115
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Application of Derivatives
  5. /2005 · Shift 0 · Q115

Application of Derivatives question

2005 · Shift 0 · Q115

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
A lizard, at an initial distance of 21 cm behind an insect moves from rest with an acceleration of 2 cm/s22 \mathrm{~cm} / \mathrm{s}^22 cm/s2 and pursues the insect which is crawling uniformly along a straight line at a speed of 20 cm/s20 \mathrm{~cm} / \mathrm{s}20 cm/s. Then the lizard will catch the insect after :
  1. A
    20 s
  2. B
    1 s
  3. C
    21 s
  4. D
    24 s
PreviousNext

More from Application of Derivatives

  • 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
  • If the function f(x)=2x3−9ax2+12a2x+1, where a>0, attains its maximum and minimum at p and q respectively such that p2=q, then a equals2003 · MCQ
  • The maximum distance from origin of a point on the curve x=asint−bsin(bat​)y=acost−bcos(bat​), both a,b>0 is2002 · MCQ
  • If the function f(x)=2x3−9ax2+12a2x+1, where a>0, attains its local maximum and local minimum values at p and q , respectively, such that p2=q, then f(3) is equal to :2025 · MCQ