JEE Main 2020 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 4 September 2020, Shift 2, Maths Q74

Question 74 of 75 in this shift, Maths question 24 of 25.

Let PQ be a diameter of the circle

x^2+y^2=9

. If

\alpha

and

\beta

are the lengths of the perpendiculars from P and Q on the straight line,

x+y=2

respectively, then the maximum value of

\alpha\beta

is ________.

Official answer

7.00

NTA final key (Sep 2020).

Chapter: Conic Sections
Topic: Straight Line Distance
Idea tested: Perpendicular distance from point

Same idea in other shifts

Asked 4× 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 108 of the 174 JEE Main shifts held from 2017 to 2026.