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Friday, 9 October

JEE Main Maths · Conic Sections

Power of a Point in JEE Main

Power of a Point (Maths, Conic Sections) came 2 times in 2 of the 42 JEE Main shifts Lumi analysed, across 2 distinct ideas. 2 of them came in 2024–26; it was last asked in 2026.

Questions
2
in 2 shifts
Ideas asked
2
0 asked more than once
Numerical answer
1
50% of its questions
Pattern
New since 2024
last asked 2026
Questions each year
0240’170’200’210’220’231’240’251’26

In the shifts Lumi analysed for each year.

Difficulty and format
Easy 0Medium 0Hard 2

Format

  • Single correct1 Q
  • Numerical value1 Q
Ideas inside the topic
2 ideas
Where it sits

Part of Conic Sections, which had 116 questions in all. Power of a Point accounts for 2% of them. In Lumi's JEE taxonomy it belongs to Coordinate Geometry.

Every question

All 2 Power of a Point questions

Newest first, each with its options and official answer.

  1. 5 Apr 2026, Shift 2 · Q11Let the point P be the vertex of the parabola y=x2−6x+12y=x^2-6x+12. If a line passing through the point P intersects the circle…HardSingle correct
  2. 30 Jan 2024, Shift 2 · Q28Consider two circles C1:x2+y2=25C_1: x^2 + y^2 = 25 and C2:(x−α)2+y2=16C_2: (x - \alpha)^2 + y^2 = 16, where α∈(5,9)\alpha \in (5, 9). Let the angle between the two…HardNumerical value