JEE Main · Maths · Conic Sections
Focal Chord Length via Slope
JEE Main asked Focal Chord Length via Slope 2 times in 2 of the 108 shifts Lumi analysed, in 2023 and 2024. It belongs to Parabola Focal Chords, in Conic Sections (Maths). The longest wait between two years asking it was 1 year.
Updated 2026-10-24
- Times asked
- 2
- in 2 shifts
- Years
- 2 of 8
- First asked
- 2023
- last in 2024
- Pattern
- Occasional
- across the analysed shifts
Questions on this idea a shift, by year
2017–2026. Asked in 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.
Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 1 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.
Shift by shift
Each square is one analysed shift, in date order. Open a filled one for that paper.
How JEE Main framed it
Numerical value is the usual form. Skill tested: multi-step.
- Focal chord length and distance from origin
- Point not on line through focal chord division point
Difficulty
1 of the 2 questions had a numerical answer.
Every question
All 2 questions
From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.
- 5 Apr 2024, Shift 1 · Q28Suppose AB is a focal chord of the parabola of length and slope . If the distance of the chord AB from the origin…MediumNumerical value
- 13 Apr 2023, Shift 1 · Q16Let PQ be a focal chord of the parabola of length 100, making an acute angle with the positive -axis. Let the ordinate of P…HardSingle correct
Shifts: 13 Apr 2023, Shift 1, 5 Apr 2024, Shift 1.
Same topic
Other ideas in Parabola Focal Chords
Parabola Focal Chords has 8 ideas JEE Main has asked; 3 of them came up in more than one question.
- Equation of focal chord3× · 2023
- Parameter relation t1*t2 = -12× · 2026
- Point of Contact of Focal Radius Circle with Vertex Tangentonce · 2025
- Ratio of Y-Coordinates of Extremitiesonce · 2025
- Focal Chord Length via Vertex Distanceonce · 2024
- Chord of Contact from Directrix is Focalonce · 2022
- Length of focal chordonce · 2022