FAST-NU Advanced Mathematics — Conic Sections
Conic Sections is part of the Advanced Mathematics section of FAST's BS CS/Engineering admission test (usually 50 of the 120 MCQs, 50% of the marks). It breaks into 4 subtopics, and we hold 53 FAST-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (4)
How Conic Sections is tested
Across the 7 FAST-pattern papers on ParhaiKrlo, Conic Sections accounts for 21 questions. It appears in all 7, about 3 questions a paper. The heaviest was FAST Past Paper 07, with 3 questions.
| Paper | Questions |
|---|---|
| FAST Past Paper 07 | 3 |
| FAST Past Paper 06 | 3 |
| FAST Past Paper 05 | 3 |
| FAST Past Paper 04 | 3 |
| FAST Past Paper 03 | 3 |
| FAST Past Paper 02 | 3 |
| FAST Past Paper 01 | 3 |
Conic Sections MCQs from the FAST-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · FAST Past Paper 07 · Conic Sections
The centre and radius of the circle x² + y² − 6x + 4y − 12 = 0 are:
- A.(−3, 2) and 5
- B.(6, −4) and 5
- C.(3, −2) and 5
- D.(3, −2) and √12
Show answer
Answer: C. (3, −2) and 5 — Centre (−g, −f) = (3, −2); radius √(g² + f² − c) = √(9 + 4 + 12) = 5.
- Q2 · FAST Past Paper 06 · Conic Sections
The equation of the circle with centre (2, −3) and radius 4 is:
- A.x² + y² − 4x + 6y − 3 = 0
- B.x² + y² + 4x − 6y − 3 = 0
- C.x² + y² − 4x + 6y + 3 = 0
- D.x² + y² − 4x + 6y − 16 = 0
Show answer
Answer: A. x² + y² − 4x + 6y − 3 = 0 — (x − 2)² + (y + 3)² = 16 expands to x² + y² − 4x + 6y − 3 = 0.
- Q3 · FAST Past Paper 05 · Conic Sections
The equation x² + y² = r² represents a circle with:
- A.centre (r, r) and radius r
- B.centre at the origin and radius r
- C.centre at the origin and radius r²
- D.centre (r, 0) and radius r
Show answer
Answer: B. centre at the origin and radius r — x² + y² = r² is the circle of radius r centred at the origin.