ECAT Mathematics — Conic Sections
Conic Sections is part of the Mathematics section of the UET ECAT (30 of the 100 MCQs). It breaks into 5 subtopics, and we hold 28 ECAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (5)
How Conic Sections is tested
Across the 7 ECAT past papers on ParhaiKrlo, Conic Sections accounts for 11 questions. It appears in 5 of them, about 2.2 questions a paper. The heaviest was ECAT Past Paper 03, with 3 questions, and the most recent is ECAT Past Paper 07, with 2.
| Paper | Questions |
|---|---|
| ECAT Past Paper 07 | 2 |
| ECAT Past Paper 05 | 2 |
| ECAT Past Paper 03 | 3 |
| ECAT Past Paper 02 | 2 |
| ECAT Past Paper 01 | 2 |
Conic Sections MCQs from the ECAT past papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · ECAT Past Paper 07 · Conic Sections
The equation of the circle with centre (4, 3) and radius 2 is:
- A.(x + 4)² + (y + 3)² = 4
- B.4x² + 3y² = 4
- C.x²/16 + y²/9 = 4
- D.x² + y² − 8x − 6y + 21 = 0
Show answer
Answer: D. x² + y² − 8x − 6y + 21 = 0 — (x − 4)² + (y − 3)² = 4 expands to x² + y² − 8x − 6y + 21 = 0.
- Q2 · ECAT Past Paper 05 · Conic Sections
A line segment whose end points lie on a circle is called a:
- A.Arc of the circle
- B.Centre of the circle
- C.Chord of the circle
- D.Radius of the circle
Show answer
Answer: C. Chord of the circle — A chord joins two points on a circle.
- Q3 · ECAT Past Paper 03 · Conic Sections
The directrix of the parabola x² = −8y is:
- A.x + 2 = 0
- B.y + 2 = 0
- C.y − 2 = 0
- D.x − 2 = 0
Show answer
Answer: C. y − 2 = 0 — x² = −4ay with a = 2 opens downward; its directrix is y = a = 2.