COMSATS Mathematics — Analytic Geometry
Analytic Geometry is part of the Mathematics section of the NTS NAT-IE test COMSATS admits on (10 of the 90 MCQs). It breaks into 2 subtopics, and we hold 24 NAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (2)
How Analytic Geometry is tested
Across the 7 NAT-pattern papers on ParhaiKrlo, Analytic Geometry accounts for 5 questions. It appears in 5 of them, about 1 questions a paper. The heaviest was COMSATS Past Paper 07, with 1 question.
| Paper | Questions |
|---|---|
| COMSATS Past Paper 07 | 1 |
| COMSATS Past Paper 06 | 1 |
| COMSATS Past Paper 04 | 1 |
| COMSATS Past Paper 03 | 1 |
| COMSATS Past Paper 01 | 1 |
Analytic Geometry MCQs from the NAT-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · COMSATS Past Paper 07 · Analytic Geometry
The radius of the circle x² + y² = 49 is:
- A.√7
- B.49
- C.14
- D.7
Show answer
Answer: D. 7 — x² + y² = r² with r² = 49, so r = 7.
- Q2 · COMSATS Past Paper 06 · Analytic Geometry
The line y = 3 is:
- A.parallel to the y-axis
- B.a line through the origin
- C.a line with slope 3
- D.parallel to the x-axis
Show answer
Answer: D. parallel to the x-axis — y = 3 is a horizontal line, 3 units above the x-axis.
- Q3 · COMSATS Past Paper 04 · Analytic Geometry
The centre of the circle x² + y² − 4x + 6y − 3 = 0 is:
- A.(−2, 3)
- B.(4, −6)
- C.(−4, 6)
- D.(2, −3)
Show answer
Answer: D. (2, −3) — x² + y² + 2gx + 2fy + c = 0 has centre (−g, −f); 2g = −4, 2f = 6, so centre (2, −3).