NDA 2024 · PYQ · Coordinate Geometry / Circle · easy
If (a, b) is the centre and c is the radius of the circle x² + y² + 2x + 6y + 1 = 0, then what is the value of a² + b² + c²?
- A.19✓ Correct
- B.18
- C.17
- D.11
The circle x² + y² + 2x + 6y + 1 = 0 has centre (–1, –3) and radius √(1 + 9 – 1) = √9 = 3. So a = –1, b = –3, c = 3. Then a² + b² + c² = 1 + 9 + 9 = 19.
💡
Practice unlimited NDA PYQs + AI-tracked progress on each topic.
Sign up free →Want more NDA practice?
Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English