JEE Main Maths · Conic Sections
Family of Circles Touching a Line
Family of Circles Touching a Line (Conic Sections) was asked 4 times in 4 JEE Main shifts, 2020–2026, out of the 42 shifts Lumi analysed. 2 of the 4 had a numerical answer.
- Times asked
- 4
- in 4 shifts
- Years
- 2020–2026
- Usual format
- Numerical value
- Multi-step
- Pattern
- Frequent
- repeats across shifts
How it is asked
- Chord length of circle cut by line
- Radii of circles touching two lines
Difficulty
Easy 0Medium 1Hard 3
Where it sits
Chapter: Conic Sections. Topic: Circle Tangents, 17 questions over 10 ideas.
Other repeat ideas in this topic
Every time it came
All 4 questions
Newest first, each with its options and official answer.
- 6 Apr 2026, Shift 2 · Q10Let C be a circle having centre in the first quadrant and touching the -axis at a distance of 3 units from the origin. If the circle C…MediumSingle correct
- 2 Apr 2025, Shift 1 · Q22The absolute difference between the squares of the radii of the two circles passing through the point and touching the lines…HardNumerical value
- 25 Jul 2022, Shift 1 · Q29The sum of diameters of the circles that touch (i) the parabola at the point and…HardNumerical value
- 6 Sep 2020, Shift 2 · Q65The centre of the circle passing through the point and touching the parabola at the point is :HardSingle correct