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Friday, 9 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 29 June 2022, Shift 1, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

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 and the equilateral triangle is minimum, is :
  1. (1)229+43\frac{22}{9 + 4\sqrt{3}}
  2. (2)669+43\frac{66}{9 + 4\sqrt{3}}Official answer
  3. (3)224+93\frac{22}{4 + 9\sqrt{3}}
  4. (4)664+93\frac{66}{4 + 9\sqrt{3}}

Official answer

Option 2

NTA final key (2022 Session 1).

Chapter
Application of Derivatives
Topic
Maxima and Minima
Idea tested
Optimization Problems

Same idea in other shifts

Asked 3× in all
  1. 9 Apr 2024, Shift 1 · Q7A variable line L passes through the point (3,5)(3,5) and intersects the positive coordinate axes at the points A and B. The minimum area of…MediumSingle correct
  2. 2 Apr 2017 (offline) · Q73Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.