JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 24 February 2021, Shift 2, Maths Q63

Question 63 of 90 in this shift, Maths question 3 of 30, Section A.

If P is a point on the parabola

y=x^2+4

which is closest to the straight line

y=4x-1

, then the co-ordinates of P are :

(1) $(3, 13)$
(2) $(2, 8)$ Official answer
(3) $(-2, 8)$
(4) $(1, 5)$

Official answer

Option 2

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Shortest Distance Between Curves

Same idea in other shifts

Asked 3× in all

3 Apr 2025, Shift 2 · Q17The shortest distance between the curves $y^2 = 8x$ and $x^2 + y^2 + 12y + 35 = 0$ is:MediumSingle correct
26 Jul 2022, Shift 2 · Q5Let P and Q be any points on the curves $(x-1)^2+(y+1)^2=1$ and $y=x^2$ , respectively. The distance between P and Q is minimum for some…HardSingle 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.