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Saturday, 31 October

JEE Main · Maths · Straight Lines

Image of a point in a line

JEE Main asked Image of a point in a line 7 times in 6 of the 108 shifts Lumi analysed, in 2020, 2021, 2022 and 2024. It belongs to Straight Line Distance, in Straight Lines (Maths). The longest wait between two years asking it was 2 years. In 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
7
in 6 shifts
Years
4 of 8
First asked
2020
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021, 2022 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.08’200.03’210.04’220’230.19’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 1 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 4 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
  • 202423 of 18
  • 20230 of 12
  • 20221 of 24
  • 20211 of 24
  • 20201 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.

  • Vertex of triangle from angle bisector and side ratio
  • Reflected ray and parallelogram vertex

Difficulty

Easy 3Medium 3Hard 1

2 of the 7 questions had a numerical answer.

Every question

All 7 questions

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

  1. 29 Jan 2024, Shift 1 · Q15In a ΔABC\Delta ABC, suppose y=xy=x is the equation of the bisector of the angle BB and the equation of the side ACAC is 2x−y=22x-y=2. If…HardSingle correct
  2. 9 Apr 2024, Shift 1 · Q14A ray of light coming from the point P(1,2)P(1,2) gets reflected from the point Q on the xx-axis and then passes through the point R(4,3)R(4,3).…MediumSingle correct
  3. 8 Apr 2024, Shift 2 · Q15If the image of the point (−4,5)(-4, 5) in the line x+2y=2x + 2y = 2 lies on the circle (x+4)2+(y−3)2=r2(x+4)^2 + (y-3)^2 = r^2, then r is equal to :EasySingle correct
  4. 8 Apr 2024, Shift 2 · Q22Let a ray of light passing through the point (3,10)(3, 10) reflects on the line 2x+y=62x + y = 6 and the reflected ray passes through the point…MediumNumerical value
  5. 28 Jun 2022, Shift 1 · Q25A ray of light passing through the point P(2, 3) reflects on the xx-axis at point A and the reflected ray passes through the point Q(5,…MediumNumerical value
  6. 25 Feb 2021, Shift 1 · Q70The image of the point (3, 5) in the line x−y+1=0x - y + 1 = 0, lies on :EasySingle correct
  7. 6 Sep 2020, Shift 2 · Q64Let L denote the line in the xyxy-plane with xx and yy intercepts as 3 and 1 respectively. Then the image of the point (−1,−4)(-1,-4) in this…EasySingle correct

Shifts: 6 Sep 2020, Shift 2, 25 Feb 2021, Shift 1, 28 Jun 2022, Shift 1, 29 Jan 2024, Shift 1, 8 Apr 2024, Shift 2, 9 Apr 2024, Shift 1.

Same topic

Other ideas in Straight Line Distance

Straight Line Distance has 23 ideas JEE Main has asked; 16 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas