Quadratic Equations
67 NDA Mathematics previous year questions (PYQs) from 19 papers, 2017 to 2026, with answers and worked solutions.
About this chapter
- Difficulty: 17 easy · 25 moderate · 25 hard.
- Most-asked subtopics: Vieta's Relations and Root-Coefficient Identities (29), Nature of Roots and Boundary Conditions (21), Special Quadratics — Parametric, Logarithmic, Constructed (17).
- Updated 14 September 2026.
#1Nature of Roots and Boundary Conditions
#2Nature of Roots and Boundary Conditions
#3Nature of Roots and Boundary Conditions
#4Nature of Roots and Boundary Conditions
#5Nature of Roots and Boundary Conditions
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#6Nature of Roots and Boundary Conditions
#7Nature of Roots and Boundary Conditions
- NDA · Sep 2019 · Q38Moderate
#8Nature of Roots and Boundary Conditions
- NDA · Apr 2020 · Q76Moderate
#9Nature of Roots and Boundary Conditions
#10Nature of Roots and Boundary Conditions
#11Nature of Roots and Boundary Conditions
#12Nature of Roots and Boundary Conditions
- NDA · Apr 2023 · Q17Moderate
#13Nature of Roots and Boundary Conditions
- NDA · Apr 2026 · Q43Moderate
#14Nature of Roots and Boundary Conditions
- Set · 2 questionsFor the following two (02) items: Consider the equation .
#15Nature of Roots and Boundary Conditions
- NDA · Sep 2025 · Q32Moderate
#16Nature of Roots and Boundary Conditions
- Set · 2 questionsFor the following two (02) items: Let be a quadratic polynomial such that . Further, 2 is a root of .
- NDA · Sep 2025 · Q37Moderate
#17Nature of Roots and Boundary Conditions
#18Nature of Roots and Boundary Conditions
#19Nature of Roots and Boundary Conditions
- NDA · Apr 2024 · Q45Moderate
#20Nature of Roots and Boundary Conditions
#21Nature of Roots and Boundary Conditions
- NDA · Sep 2026 · Q27Moderate
#22Vieta's Relations and Root-Coefficient Identities
- NDA · Sep 2026 · Q28Moderate
#23Vieta's Relations and Root-Coefficient Identities
- NDA · Sep 2026 · Q29Moderate
#24Vieta's Relations and Root-Coefficient Identities
- NDA · Apr 2017 · Q5Moderate
#25Vieta's Relations and Root-Coefficient Identities
#26Vieta's Relations and Root-Coefficient Identities
#27Vieta's Relations and Root-Coefficient Identities
#28Vieta's Relations and Root-Coefficient Identities
- NDA · Sep 2019 · Q5Moderate
#29Vieta's Relations and Root-Coefficient Identities
- NDA · Sep 2019 · Q105Moderate
#30Vieta's Relations and Root-Coefficient Identities
#31Vieta's Relations and Root-Coefficient Identities
#32Vieta's Relations and Root-Coefficient Identities
#33Vieta's Relations and Root-Coefficient Identities
#34Vieta's Relations and Root-Coefficient Identities
#35Vieta's Relations and Root-Coefficient Identities
#36Vieta's Relations and Root-Coefficient Identities
#37Vieta's Relations and Root-Coefficient Identities
#38Vieta's Relations and Root-Coefficient Identities
- NDA · Sep 2022 · Q11Moderate
#39Vieta's Relations and Root-Coefficient Identities
#40Vieta's Relations and Root-Coefficient Identities
- Set · 2 questionsConsider the following for the next two (02) items that follow: A quadratic equation is given by .
#41Vieta's Relations and Root-Coefficient Identities
#42Vieta's Relations and Root-Coefficient Identities
#43Vieta's Relations and Root-Coefficient Identities
- NDA · Apr 2026 · Q12Moderate
#44Vieta's Relations and Root-Coefficient Identities
- Set · 2 questionsConsider the equation .
- NDA · Sep 2023 · Q31Moderate
#45Vieta's Relations and Root-Coefficient Identities
- NDA · Sep 2023 · Q32Moderate
#46Vieta's Relations and Root-Coefficient Identities
#47Vieta's Relations and Root-Coefficient Identities
#48Vieta's Relations and Root-Coefficient Identities
- NDA · Sep 2024 · Q16Moderate
#49Vieta's Relations and Root-Coefficient Identities
- NDA · Apr 2025 · Q3Moderate
#50Vieta's Relations and Root-Coefficient Identities
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