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Saturday, 31 October

JEE Main · Maths · Application of Derivatives

Orthogonal Intersection of Curves

JEE Main asked Orthogonal Intersection of Curves 2 times in 2 of the 108 shifts Lumi analysed, all in 2021. It belongs to Tangents and Normals, in Application of Derivatives (Maths). In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
1 of 8
First asked
2021
the only year
Pattern
Gone quiet
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.07’210’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 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
  • 20230 of 12
  • 20220 of 24
  • 20212 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: calculation.

  • Orthogonal curves condition
  • Condition for curves to intersect orthogonally

Difficulty

Easy 0Medium 2Hard 0

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.

  1. 25 Feb 2021, Shift 2 · Q85If the curves x=y4x = y^4 and xy=kxy = k cut at right angles, then (4k)6(4k)^6 is equal to ________.MediumNumerical value
  2. 25 Feb 2021, Shift 1 · Q72If the curves, x2a+y2b=1\frac{x^2}{a} + \frac{y^2}{b} = 1 and x2c+y2d=1\frac{x^2}{c} + \frac{y^2}{d} = 1 intersect each other at an angle of 90∘90^\circ,…MediumSingle correct

Shifts: 25 Feb 2021, Shift 2, 25 Feb 2021, Shift 1.

Same topic

Other ideas in Tangents and Normals

Tangents and Normals has 20 ideas JEE Main has asked; 7 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas