Properties Of Triangles — NDA Previous Year Questions

29 solved PYQs · 2021–2025 · Mathematics

Solved PYQs: 29
Years covered: 2021–2025
Avg / year: ~6
Subject: Mathematics

How many NDA questions come from Properties Of Triangles?

Properties Of Triangles has contributed 29 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 6 questions a year. That count is measured from EByAi’s bank of 15,695 NDA questions, not estimated from a syllabus. Every one of the 29 questions carries a written, step-by-step solution, and each is tagged to Properties Of Triangles within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Properties Of Triangles questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 29 Properties Of Triangles questions (with full written solutions) are available in practice.

Question 1 · NDA 2025
The vertices of a triangle are A(1, 1),B(0, 0) and C(2, 0). The angular bisectors of the triangle meet at P. What are the coordinates of P?
1. (A) $(1, 2 - 1)$
2. (B) $(1, 3 - 1)$
3. (C) $'(1,1/2)$
4. (D) $(1/2, 2 - 1)$
Show answerAnswer
$Answer: (A) (1, 2 - 1)$
Question 2 · NDA 2025
Consider the following statements:

I. The triangle is an obtuse-angled triangle.

II. The sum of acute angles of the triangle is also acute angles.

Which of the statements given above is/are correct?
1. (A) $I only$
2. (B) $II only$
3. (C) $Both I and II$
4. (D) $Neither I nor II$
Show answerAnswer
$Answer: (C) Both I and II$
Question 3 · NDA 2025
Consider the following statements:

I. The triangle is right-angled.

II. One of the sides of the triangle is 3 times the other.

III. The angles A, C and B of the triangle are in AP.

Which of the statements given above is/are correct?
1. (A) $I only$
2. (B) $II and III only$
3. (C) $I and III only$
4. (D) $I, II and III$
Show answerAnswer
$Answer: (C) I and III only$
Question 4 · NDA 2024
In a triangle ABC, ∠A = 75° and ∠B = 45°. What is 2a - b equal to?
1. (A) $c$
2. (B) $\sqrt2c$
3. (C) $2c$
4. (D) $2\sqrt2c$
Show answerAnswer
$Answer: (B) \sqrt2c$
Question 5 · NDA 2024
In a triangle ABC tan A + tan B + tan C = k What is the value of cot A cot B cot C?
1. (A) $0.5 k$
2. (B) $1/k$
3. (C) $3/k$
4. (D) $1/k^3$
Show answerAnswer
$Answer: (B) 1/k$

Properties Of Triangles questions by year

Year	Questions	Share of chapter questions
2025	6
2024	6
2023	8
2022	4
2021	5

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FAQs

How many NDA questions have been asked from Properties Of Triangles?

EByAi's bank holds 29 real NDA questions from Properties Of Triangles, asked between 2021 and 2025 — about 6 per year on average. Every count is measured from actual papers, not estimated.

Is Properties Of Triangles important for NDA?

29 questions over 5 papers make Properties Of Triangles a steady-weightage chapter in NDA Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Properties Of Triangles PYQs online for free?

Yes. EByAi lets you solve NDA past-year questions in the browser with written solutions — free daily practice, no card needed.

More NDA Mathematics chapters

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