JEE Main 2021 · MathsNumerical answerNumerical valueEasyCalculation

JEE Main 17 March 2021, Shift 1, Maths Q86

Question 86 of 90 in this shift, Maths question 26 of 30, Section B.

The minimum distance between any two points

P_1

and

P_2

while considering point

P_1

on one circle and point

P_2

on the other circle for the given circles’ equations

x^{2}+y^{2}-10x-10y+41=0

x^{2}+y^{2}-24x-10y+160=0

is __________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Number of Common Tangents

Same idea in other shifts

Asked 6× in all

1 Feb 2024, Shift 1 · Q15Let $C: x^2+y^2=4$ and $C': x^2+y^2-4\lambda x+9=0$ be two circles. If the set of all values of $\lambda$ so that the circles C and C'…MediumSingle correct
15 Apr 2023, Shift 1 · Q13The number of common tangents, to the circles $x^2+y^2-18x-15y+131=0$ and $x^2+y^2-6x-6y-7=0$ , isEasySingle correct
17 Mar 2021, Shift 1 · Q75Choose the incorrect statement about the two circles whose equations are given below : $x^{2}+y^{2}-10x-10y+41=0$ and…MediumSingle correct
18 Mar 2021, Shift 1 · Q75Choose the correct statement about two circles whose equations are given below : $x^2+y^2-10x-10y+41=0$ $x^2+y^2-22x-10y+137=0$ EasySingle correct
9 Jan 2020, Shift 2 · Q73If the curves, $x^2-6x+y^2+8=0$ and $x^2-8y+y^2+16-k=0$ , $(k>0)$ touch each other at a point, then the largest value of $k$ is ______.MediumNumerical value

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.