JEE Main 2020 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 9 January 2020, Shift 2, Maths Q73

Question 73 of 75 in this shift, Maths question 23 of 25, Section B.

If 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 ______.

Official answer

36.00

NTA final key (Jan 2020).

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
17 Mar 2021, Shift 1 · Q86The 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…EasyNumerical value
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

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.