Conics
40 NDA Mathematics previous year questions (PYQs) from 19 papers, 2017 to 2026, with answers and worked solutions.
About this chapter
- Difficulty: 15 easy · 17 moderate · 8 hard.
- Most-asked subtopics: Ellipse — Foci, Eccentricity, and Focal Distances (15), Parabola — Equation, Properties, and Latus Rectum (14), Conic Sections — Identification and Eccentricity Comparison (7).
- Updated 14 September 2026.
- NDA · Sep 2018 · Q52Moderate
#1Conic Sections — Identification and Eccentricity Comparison
#2Conic Sections — Identification and Eccentricity Comparison
#3Conic Sections — Identification and Eccentricity Comparison
#4Conic Sections — Identification and Eccentricity Comparison
- Set · 2 questionsFor the next two (02) items that follow: The foci of the ellipse and the foci of the hyperbola coincide (assume ).
#5Conic Sections — Identification and Eccentricity Comparison
- NDA · Apr 2026 · Q62Moderate
#6Conic Sections — Identification and Eccentricity Comparison
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#7Conic Sections — Identification and Eccentricity Comparison
#8Parabola — Equation, Properties, and Latus Rectum
- NDA · Apr 2019 · Q55Moderate
#9Parabola — Equation, Properties, and Latus Rectum
#10Parabola — Equation, Properties, and Latus Rectum
- Set · 2 questionsDirection: Consider the following for the next two (02) items that follow. The two ends of the latus rectum of a parabola are (-2, 4) and (-2, -4).
- NDA · Sep 2021 · Q59Moderate
#11Parabola — Equation, Properties, and Latus Rectum
#12Parabola — Equation, Properties, and Latus Rectum
- NDA · Apr 2022 · Q84Moderate
#13Parabola — Equation, Properties, and Latus Rectum
#14Parabola — Equation, Properties, and Latus Rectum
- NDA · Sep 2025 · Q59Moderate
#15Parabola — Equation, Properties, and Latus Rectum
- Set · 2 questionsA parabola passes through and satisfies .
- NDA · Sep 2023 · Q51Moderate
#16Parabola — Equation, Properties, and Latus Rectum
#17Parabola — Equation, Properties, and Latus Rectum
- NDA · Sep 2023 · Q81Moderate
#18Parabola — Equation, Properties, and Latus Rectum
- NDA · Apr 2024 · Q64Moderate
#19Parabola — Equation, Properties, and Latus Rectum
#20Parabola — Equation, Properties, and Latus Rectum
#21Parabola — Equation, Properties, and Latus Rectum
- NDA · Sep 2026 · Q53Moderate
#22Ellipse — Foci, Eccentricity, and Focal Distances
#23Ellipse — Foci, Eccentricity, and Focal Distances
- NDA · Sep 2017 · Q49Moderate
#24Ellipse — Foci, Eccentricity, and Focal Distances
#25Ellipse — Foci, Eccentricity, and Focal Distances
#26Ellipse — Foci, Eccentricity, and Focal Distances
#27Ellipse — Foci, Eccentricity, and Focal Distances
#28Ellipse — Foci, Eccentricity, and Focal Distances
#29Ellipse — Foci, Eccentricity, and Focal Distances
- NDA · Apr 2022 · Q85Moderate
#30Ellipse — Foci, Eccentricity, and Focal Distances
#31Ellipse — Foci, Eccentricity, and Focal Distances
- Set · 2 questionsConsider the following for the next two (02) items that follow: is any point on the ellipse . Let , be the foci of the ellipse.
#32Ellipse — Foci, Eccentricity, and Focal Distances
- NDA · Apr 2023 · Q58Moderate
#33Ellipse — Foci, Eccentricity, and Focal Distances
- NDA · Apr 2024 · Q65Moderate
#34Ellipse — Foci, Eccentricity, and Focal Distances
#35Ellipse — Foci, Eccentricity, and Focal Distances
- NDA · Apr 2025 · Q60Moderate
#36Ellipse — Foci, Eccentricity, and Focal Distances
- NDA · Apr 2021 · Q64Moderate
#37Hyperbola — Foci and Eccentricity
#38Hyperbola — Foci and Eccentricity
- NDA · Sep 2023 · Q86Moderate
#39Hyperbola — Foci and Eccentricity
#40Hyperbola — Foci and Eccentricity
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