NDA · Mathematics · UPSC · 2025

Circles — NDA Mathematics PYQs

3 questions from this chapter, asked in 1 NDA exams between 2025.

3questions

1NDA exams

2025years covered

Questions asked per year

20253 Qs

Practice questions first 3 of 3 — free

Q1MCQ2025

Answer Logic

What is the equation of the circle whose diameter is $10$ cm and the equations of two of its diameters are $x + y = 0$ and $x - y = 0$ ?

(A)

x^{2} + y^{2} = 1

(B)

x^{2} + y^{2} = 25

(C)

x^{2} + y^{2} = 100

(D)

x^{2} + y^{2} - 2 x - 2 y - 23 = 0

Q2MCQ2025

Answer Logic

A square is inscribed in a circle $x^{2} + y^{2} + 2 x + 2 y + 1 = 0$ and its sides are parallel to coordinate axes. Which one of the following is a vertex of the square?

(A)

(- 2, 2)

(B)

(- 2, - 2)

(C)

(- 1 + \frac{1}{2}, - 1 - \frac{1}{2})

(D)None of the above

Q3MCQ2025

Answer Logic

The circle $x^{2} + y^{2} - 2 k x - 2 k y + k^{2} = 0$ touches the $x$ -axis at $P$ and $y$ -axis at $Q$ . What is $P Q$ equal to?

(A)

2 k

(B)

2 k

(C)

22 k

(D)

4 k

Why practise Circles PYQs?

Circles has appeared in the 1 NDA Mathematics exam we track between 2025. UPSC examiners consistently reuse concepts and question patterns from this topic — practising its previous year questions is the most reliable way to know exactly what to expect in your exam.

Circles — NDA Mathematics PYQs

Questions asked per year

Practice questions first 3 of 3 — free

Why practise Circles PYQs?

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