JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 April 2024, Shift 1, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

A 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 the triangle OAB, where O is the origin, is :

(1) $40$
(2) $35$
(3) $25$
(4) $30$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Straight Lines
Topic: Maxima and Minima
Idea tested: Optimization Problems

Same idea in other shifts

Asked 3× in all

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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.