Three Dimensional Geometry — NDA Previous Year Questions

48 solved PYQs · 2021–2025 · Mathematics

Solved PYQs: 48
Years covered: 2021–2025
Avg / year: ~10
Subject: Mathematics

How many NDA questions come from Three Dimensional Geometry?

Three Dimensional Geometry has contributed 48 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 10 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 48 questions carries a written, step-by-step solution, and each is tagged to Three Dimensional Geometry 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 Three Dimensional Geometry questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 48 Three Dimensional Geometry questions (with full written solutions) are available in practice.

Question 1 · NDA 2025
On which one of the following planes does the centre of S lie?
1. (A) $x + y + z - 1 = 0$
2. (B) $x + y + z + 1 = 0$
3. (C) $3x + 3y + 3z - 1 = 0$
4. (D) $3x + 3y + 3z + 1 = 0$
Show answerAnswer
$Answer: (A) x + y + z - 1 = 0$
Question 2 · NDA 2025
Which of the following are the direction ratios of the line of intersection of the given planes?
1. (A) $⟨ 2, 23, 16 ⟩$
2. (B) $⟨ 2, - 23, - 16 ⟩$
3. (C) $⟨ 2, 3, 2 ⟩$
4. (D) $⟨ - 1, 3, - 2 ⟩$
Show answerAnswer
$Answer: (B) ⟨ 2, - 23, - 16 ⟩$
Question 3 · NDA 2025
A(1,2,−1), B(2,5,−2) and C(4,4,−3) are three vertices of a rectangle. What is the area of the rectangle?
1. (A) $8 square units$
2. (B) $9 square units$
3. (C) $66 square units$
4. (D) $68 square units$
Show answerAnswer
$Answer: (C) 66 square units$
Question 4 · NDA 2025
What is the equation of the plane passing through the point (1,1,1) and perpendicular to the line whose direction ratios are (3,2,1)?
1. (A) $x+2y+3z=6$
2. (B) $3x+2y+z=6$
3. (C) $x+y+z=3$
4. (D) $3x+2y+z=0$
Show answerAnswer
$Answer: (B) 3x+2y+z=6$
Question 5 · NDA 2025
ABC is a triangle right-angled at B. If A(k,1,−1), B(2k,0,2) and C(2+2k,k,1) are the vertices of the triangle, then what is the value of k?
1. (A) $-3$
2. (B) $-1$
3. (C) $1$
4. (D) $3$
Show answerAnswer
$Answer: (D) 3$

Three Dimensional Geometry questions by year

Year	Questions	Share of chapter questions
2025	11
2024	10
2023	9
2022	9
2021	9

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FAQs

How many NDA questions have been asked from Three Dimensional Geometry?

EByAi's bank holds 48 real NDA questions from Three Dimensional Geometry, asked between 2021 and 2025 — about 10 per year on average. Every count is measured from actual papers, not estimated.

Is Three Dimensional Geometry important for NDA?

48 questions over 5 papers make Three Dimensional Geometry a steady-weightage chapter in NDA Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Three Dimensional Geometry 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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