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Saturday, 31 October

JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 15 April 2023, Shift 1, Maths Q25

Question 25 of 90 in this shift, Maths question 25 of 30, Section B.

Consider the triangles with vertices A(2,1)A(2,1), B(0,0)B(0,0) and C(t,4)C(t,4), t∈[0,4]t\in[0,4]. If the maximum and the minimum perimeters of such triangles are obtained at t=αt=\alpha and t=βt=\beta respectively, then 6α+21β6\alpha+21\beta is equal to ______.

Official answer

48

NTA final key.

Chapter
Straight Lines
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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.