ECAT Mathematics — Analytic Geometry
Analytic Geometry is part of the Mathematics section of the UET ECAT (30 of the 100 MCQs). It breaks into 6 subtopics, and we hold 34 ECAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (6)
How Analytic Geometry is tested
Across the 7 ECAT past papers on ParhaiKrlo, Analytic Geometry accounts for 13 questions. It appears in 6 of them, about 2.2 questions a paper. The heaviest was ECAT Past Paper 05, with 4 questions, and the most recent is ECAT Past Paper 07, with 1.
| Paper | Questions |
|---|---|
| ECAT Past Paper 07 | 1 |
| ECAT Past Paper 06 | 3 |
| ECAT Past Paper 05 | 4 |
| ECAT Past Paper 03 | 1 |
| ECAT Past Paper 02 | 2 |
| ECAT Past Paper 01 | 2 |
Analytic Geometry MCQs from the ECAT past papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · ECAT Past Paper 07 · Analytic Geometry
The line through the point of intersection of x + y − 1 = 0 and x = 0, parallel to x − y = 0, is:
- A.y = x − 1
- B.y = −x − 1
- C.y = x + 1
- D.y = −x + 1
Show answer
Answer: C. y = x + 1 — Intersection (0, 1); slope 1 → y = x + 1.
- Q2 · ECAT Past Paper 06 · Analytic Geometry
The points (0, 6), (1, 14/3), (2, 10/3) and (3, 2) lie on a line y = mx + c. The values of m and c are:
- A.m = 2, c = 4
- B.m = 2, c = 4/3
- C.m = −4/3, c = 6
- D.m = 4/3, c = 4
Show answer
Answer: C. m = −4/3, c = 6 — c = 6 (value at x = 0); y drops by 4/3 for each unit of x, so m = −4/3.
- Q3 · ECAT Past Paper 05 · Analytic Geometry
The slope of a line with inclination 120° is:
- A.0
- B.1
- C.−√3
- D.Undefined
Show answer
Answer: C. −√3 — m = tan 120° = −tan 60° = −√3.