JEE Main 2017 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2017 (offline), Maths Q73

Question 73 of 90 in this shift, Maths question 13 of 30.

Twenty 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 flower-bed, is :

(1)10
(2)25Official answer
(3)30
(4)12.5

Official answer

Option 2

CBSE answer key (25/04/2017, used for result).

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

Same idea in other shifts

Asked 13× in all

9 Apr 2024, Shift 1 · Q7A variable line L passes through the point $(3,5)$ and intersects the positive coordinate axes at the points A and B. The minimum area of…MediumSingle correct
10 Apr 2023, Shift 1 · Q7A square piece of tin of side 30 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to…MediumSingle correct
30 Jul 2022, Shift 2 · Q84An air duct is made of a thick metallic sheet. The duct is open from front and back. Its cross-section is a trapezium of base angles…MediumNumerical valueHas a figure
26 Jun 2022, Shift 2 · Q6Cosider 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 $k$ ,…HardSingle correct
27 Jun 2022, Shift 1 · Q7The lengths of the sides of a triangle are $10+x^2$ , $10+x^2$ and $20-2x^2$ . If for $x=k$ , the area of the triangle is maximum, then…MediumSingle correct
29 Jun 2022, Shift 1 · Q14A 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…MediumSingle correct
30 Jun 2022, Shift 1 · Q8If $xy^4$ attains maximum value at the point $(x, y)$ on the line passing through the points $(50+\alpha, 0)$ and $(0, 50+\alpha)$ ,…MediumSingle correct
26 Aug 2021, Shift 1 · Q84A wire of length 36 m is cut into two pieces, one of the pieces is bent to form a square and the other is bent to form a circle. If the…MediumNumerical value

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.