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Saturday, 31 October

JEE Main · Maths · Conic Sections

Hyperbola Normal Point Form

JEE Main asked Hyperbola Normal Point Form 6 times in 6 of the 108 shifts Lumi analysed, in 2020, 2022 and 2023. It belongs to Normals to Conics, in Conic Sections (Maths). The longest wait between two years asking it was 2 years. In 2020 and 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
6
in 6 shifts
Years
3 of 8
First asked
2020
last in 2023
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2022 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.17’200’210.11’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 2 in 12 shifts · 2021: 0 in 24 shifts · 2022: 3 in 24 shifts · 2023: 1 in 12 shifts · 2024: 0 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.

  • 20260 of 9
  • 20250 of 8
  • 20240 of 18
  • 20231 of 12
  • 20223 of 24
  • 20210 of 24
  • 20202 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Distance of point from normal to conic
  • Normal to hyperbola misses a given point

Difficulty

Easy 0Medium 4Hard 2

2 of the 6 questions had a numerical answer.

Every question

All 6 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 11 Apr 2023, Shift 2 · Q27Let the tangent to the parabola y2=12xy^2 = 12x at the point (3,α)(3, \alpha) be perpendicular to the line 2x+2y=32x + 2y = 3. Then the square of…HardNumerical value
  2. 26 Jun 2022, Shift 2 · Q13The normal to the hyperbola x2a2−y29=1\frac{x^2}{a^2} - \frac{y^2}{9} = 1 at the point (8,33)(8, 3\sqrt{3}) on it passes through the point :MediumSingle correct
  3. 25 Jun 2022, Shift 2 · Q29Let the eccentricity of the hyperbola x2a2−y2b2=1\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 be 54\frac{5}{4}. If the equation of the normal at the point…HardNumerical value
  4. 26 Jul 2022, Shift 1 · Q13Let the tangent drawn to the parabola y2=24xy^2 = 24x at the point (α, β)(\alpha,\ \beta) is perpendicular to the line 2x+2y=52x + 2y = 5. Then the…MediumSingle correct
  5. 4 Sep 2020, Shift 1 · Q66Let P(3, 3) be a point on the hyperbola, x2a2−y2b2=1\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1. If the normal to it at P intersects the xx-axis at (9,…MediumSingle correct
  6. 8 Jan 2020, Shift 2 · Q65If a hyperbola passes through the point P(10,16)\mathrm{P}(10, 16) and it has vertices at (±6,0)(\pm 6, 0), then the equation of the normal to it at…MediumSingle correct

Shifts: 8 Jan 2020, Shift 2, 4 Sep 2020, Shift 1, 25 Jun 2022, Shift 2, 26 Jun 2022, Shift 2, 26 Jul 2022, Shift 1, 11 Apr 2023, Shift 2.

Same topic

Other ideas in Normals to Conics

Normals to Conics has 7 ideas JEE Main has asked; 4 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas