JEE Main Maths · Conic Sections

Normals to Conics in JEE Main

Name: Normals to Conics: JEE Main previous year questions
Creator: Lumi

Normals to Conics (Maths, Conic Sections) came 3 times in 3 of the 42 JEE Main shifts Lumi analysed, across 2 distinct ideas. 1 of them came in 2024–26; it was last asked in 2025.

Questions: 3; in 3 shifts
Ideas asked: 2; 1 asked more than once
Numerical answer: 0; 0% of its questions
Pattern: Frequent; last asked 2025

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 0Medium 2Hard 1

Format

Single correct3 Q

Ideas inside the topic

2 ideas

Ellipse Normal Point Form2 Q
Shortest Distance via Common Normal1 Q

Where it sits

Part of Conic Sections, which had 116 questions in all. Normals to Conics accounts for 3% of them. In Lumi's JEE taxonomy it belongs to Coordinate Geometry.

Every question

All 3 Normals to Conics questions

Newest first, each with its options and official answer.

3 Apr 2025, Shift 1 · Q11The radius of the smallest circle which touches the parabolas $y = x^2 + 2$ and $x = y^2 + 2$ isHardSingle correct
8 Jan 2020, Shift 1 · Q64Let the line $y=mx$ and the ellipse $2x^2+y^2=1$ intersect at a point P in the first quadrant. If the normal to this ellipse at P meets…MediumSingle correct
2 Apr 2017 (offline) · Q80The eccentricity of an ellipse whose centre is at the origin is $\frac{1}{2}$ . If one of its directrices is $x=-4$ , then the equation of…MediumSingle correct