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

2022 · 26 Jun · Shift 2 · Q29
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Application of Derivatives
  5. /2022 · 26 Jun · Shift 2 · Q29

Application of Derivatives question

2022 · 26 Jun · Shift 2 · Q29

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum of their surface areas is a constant k, then the ratio x : r, for which the sum of their volumes is maximum, is :
  1. A
    2 : 5
  2. B
    19 : 45
  3. C
    3 : 8
  4. D
    19 : 15
PreviousNext

More from Application of Derivatives

  • A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is tan−143​. Water is poured in it at a constant rate of 6 cubic meter per hour. The rate (in square meter…2022 · Numerical
  • If the minimum value of f(x)=25x2​+x5α​,x>0, is 14 , then the value of α is equal to :2022 · MCQ
  • The function f(x)=xex(1−x),x∈R, is :2022 · MCQ
  • The number of real solutions of x7+5x3+3x+1=0 is equal to ​.2022 · MCQ
  • Let f(x)=3(x2−2)3+4,x∈R. Then which of the following statements are true? P:x=0 is a point of local minima of fQ:x=2​ is a point of inflection of fR:f′ is…2022 · MCQ
  • A wire of length 22 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into an equilateral triangle. Then, the length of the side of the equilateral triangle, so that the combined area of the square…2022 · MCQ
  • If xy4 attains maximum value at the point (x, y) on the line passing through the points (50 + α, 0) and (0, 50 + α), α > 0, then (x, y) also lies on the line :2022 · MCQ
  • Let f(x)=4x3−11x2+8x−5,x∈R. Then f :2022 · MCQ