JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 April 2025, Shift 2, Maths Q17

Question 17 of 75 in this shift, Maths question 17 of 25, Section A.

The shortest distance between the curves

y^2 = 8x

and

x^2 + y^2 + 12y + 35 = 0

is:

(1) $2\sqrt{2} - 1$ Official answer
(2) $2\sqrt{3} - 1$
(3) $3\sqrt{2} - 1$
(4) $\sqrt{2}$

Official answer

Option 1

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

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
24 Feb 2021, Shift 2 · Q63If 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 :MediumSingle 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.