JEE Main Maths · Conic Sections

Number of Common Tangents

Number of Common Tangents (Conic Sections) was asked 2 times in 2 JEE Main shifts, 2020–2021, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked: 2; in 2 shifts
Years: 2020–2021
Usual format: Numerical value; Application
Pattern: Gone quiet; repeats across shifts

How it is asked

Relative position of two circles
Parameter for touching circles

Difficulty

Easy 1Medium 1Hard 0

Where it sits

Chapter: Conic Sections. Topic: Circle Tangents, 17 questions over 10 ideas.

All 2 questions

Newest first, each with its options and official answer.

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