JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 April 2024, Shift 1, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point

(3, 2)

and parallel to the coordinate axes touch it. Then the shortest distance of the circle C from the point

(5, 5)

is :

(1) $5$
(2) $2\sqrt2$
(3) $4$ Official answer
(4) $4\sqrt2$

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Maximum and Minimum Distance to a Circle

Same idea in other shifts

Asked 3× in all

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26 Feb 2021, Shift 2 · Q70Let $A(1, 4)$ and $B(1, -5)$ be two points. Let $P$ be a point on the circle $(x-1)^2+(y-1)^2=1$ such that $(PA)^2+(PB)^2$ have maximum…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.