JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 September 2020, Shift 1, Maths Q60

Question 60 of 75 in this shift, Maths question 10 of 25.

If the point P on the curve,

4x^2+5y^2=20

is farthest from the point Q(0,

-4

), then

\mathrm{PQ}^2

is equal to :

(1)36Official answer
(2)29
(3)21
(4)48

Official answer

Option 1

NTA final key (Sep 2020).

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Shortest Distance from Point to Curve

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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.