Properties of Triangle
52 NDA Mathematics previous year questions (PYQs) from 17 papers, 2017 to 2026, with answers and worked solutions.
About this chapter
- Difficulty: 8 easy · 22 moderate · 22 hard.
- Most-asked subtopics: Sine and Cosine Rules — Solving Triangles (32), Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle (14), In-circle and Regular Polygon Geometry (6).
- Updated 14 September 2026.
- Set · 1 questionFor the next two (02) items that follow : The angles , and of a triangle are in the ratio .
- NDA · Sep 2026 · Q3Moderate
#1Sine and Cosine Rules — Solving Triangles
- Set · 2 questionsFor the next two (02) items that follow : In a triangle , .
- NDA · Sep 2026 · Q5Moderate
#2Sine and Cosine Rules — Solving Triangles
- NDA · Sep 2026 · Q6Moderate
#3Sine and Cosine Rules — Solving Triangles
- NDA · Sep 2017 · Q29Moderate
#4Sine and Cosine Rules — Solving Triangles
#5Sine and Cosine Rules — Solving Triangles
Done a few? Here’s your next move
- NDA · Sep 2017 · Q39Moderate
#6Sine and Cosine Rules — Solving Triangles
#7Sine and Cosine Rules — Solving Triangles
#8Sine and Cosine Rules — Solving Triangles
- NDA · Sep 2019 · Q62Moderate
#9Sine and Cosine Rules — Solving Triangles
#10Sine and Cosine Rules — Solving Triangles
- Set · 2 questionsDirections for the following two (02) items: Read the following information and answer the two items that follow: ABCD is a trapezium such that AB and CD are parallel and BC is perpendicular to them. Let ∠ADB = θ, ∠ABD = α, BC = p and CD = q.
#11Sine and Cosine Rules — Solving Triangles
#12Sine and Cosine Rules — Solving Triangles
- NDA · Apr 2021 · Q33Moderate
#13Sine and Cosine Rules — Solving Triangles
#14Sine and Cosine Rules — Solving Triangles
- Set · 2 questionsConsider the following for the next three (03) items that follow: ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.
#15Sine and Cosine Rules — Solving Triangles
#16Sine and Cosine Rules — Solving Triangles
#17Sine and Cosine Rules — Solving Triangles
- Set · 2 questionsConsider the following for the next two (02) items that follow: The perimeter of a triangle is 6 times the AM of sine of angles of the triangle. Further and .
#18Sine and Cosine Rules — Solving Triangles
#19Sine and Cosine Rules — Solving Triangles
- Set · 2 questionsConsider the following for the next two (02) items that follow: In the triangle , .
#20Sine and Cosine Rules — Solving Triangles
#21Sine and Cosine Rules — Solving Triangles
- NDA · Apr 2026 · Q36Moderate
#22Sine and Cosine Rules — Solving Triangles
- NDA · Apr 2026 · Q37Moderate
#23Sine and Cosine Rules — Solving Triangles
- Set · 2 questionsThe angles , and of triangle are in the ratio .
#24Sine and Cosine Rules — Solving Triangles
#25Sine and Cosine Rules — Solving Triangles
- NDA · Sep 2024 · Q23Moderate
#26Sine and Cosine Rules — Solving Triangles
#27Sine and Cosine Rules — Solving Triangles
- Set · 3 questionsThe sides of a triangle ABC are AB = 3 cm, BC = 5 cm and CA = 7 cm.
- NDA · Apr 2025 · Q36Moderate
#28Sine and Cosine Rules — Solving Triangles
#29Sine and Cosine Rules — Solving Triangles
- NDA · Apr 2025 · Q38Moderate
#30Sine and Cosine Rules — Solving Triangles
- Set · 2 questionsIn a triangle ABC, two sides BC and CA are in the ratio 2:1 and their opposite corresponding angles are in the ratio 3:1.
- NDA · Apr 2025 · Q46Moderate
#31Sine and Cosine Rules — Solving Triangles
#32Sine and Cosine Rules — Solving Triangles
- NDA · Apr 2017 · Q49Moderate
#33Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
- NDA · Sep 2017 · Q37Moderate
#34Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
- NDA · Apr 2019 · Q42Moderate
#35Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
#36Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
#37Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
#38Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
#39Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
#40Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
#41Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
- NDA · Apr 2024 · Q41Moderate
#42Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
- NDA · Apr 2024 · Q46Moderate
#43Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
- NDA · Apr 2024 · Q50Moderate
#44Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
- NDA · Sep 2024 · Q24Moderate
#45Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
- NDA · Sep 2024 · Q28Moderate
#46Triangle Identities — A+B+C=π, Half-Angle, and Double-Angle
- NDA · Apr 2018 · Q42Moderate
#47In-circle and Regular Polygon Geometry
#48In-circle and Regular Polygon Geometry
#49In-circle and Regular Polygon Geometry
#50In-circle and Regular Polygon Geometry
Showing the first 50 of 52.
See all 52 questionsMore chapters in this subject
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- Application of Derivatives76
- Applications of Integration27
- Binomial Distribution31
- Binomial Theorem56
- Circles28
- Complex Numbers76
- Conics40
- Definite Integration69
- Differential Equations67
- Differentiation89
- Functions115
- Height & Distance26
- Indefinite Integration42
- Inverse Trigonometry36
- Limits & Continuity87
- Lines104
- Logarithms27
- Matrices & Determinants181
- Permutation & Combination80
- Probability176
- Quadratic Equations67
- Sequence & Series93
- Sets & Relations75
- Statistics165
- Trigonometric Equations34
- Trigonometric Identities145
- Vectors102