JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 31 January 2024, Shift 2, Maths Q10

Question 10 of 90 in this shift, Maths question 10 of 30, Section A.

Let a variable line passing through the centre of the circle

x^2+y^2-16x-4y=0

, meet the positive co-ordinate axes at the points

A

and

B

. Then the minimum value of

OA+OB

, where

O

is the origin, is equal to

(1)12
(2)18Official answer
(3)20
(4)24

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: Maxima and Minima
Idea tested: Optimization via AM-GM Inequality

Same idea in other shifts

Asked 5× in all

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25 Feb 2021, Shift 2 · Q67The minimum value of $f(x) = a^{a^x} + a^{1-a^x}$ , where $a, x \in \mathbf{R}$ and $a > 0$ , is equal to :MediumSingle correct
4 Sep 2020, Shift 2 · Q60The minimum value of $2^{\sin x} + 2^{\cos x}$ is :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 108 of the 174 JEE Main shifts held from 2017 to 2026.