JEE Main 2023 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 15 April 2023, Shift 1, Maths Q13

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

The number of common tangents, to the circles

x^2+y^2-18x-15y+131=0

and

x^2+y^2-6x-6y-7=0

, is

(1) $1$
(2) $2$
(3) $3$ Official answer
(4) $4$

Official answer

Option 3

NTA final key.

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

Same idea in other shifts

Asked 6× in all

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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
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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.