FAST-NU Advanced Mathematics — Analytic Geometry
Analytic Geometry 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 63 FAST-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (4)
How Analytic Geometry is tested
Across the 7 FAST-pattern papers on ParhaiKrlo, Analytic Geometry accounts for 23 questions. It appears in all 7, about 3.3 questions a paper. The heaviest was FAST Past Paper 03, with 4 questions, and the most recent is FAST Past Paper 07, with 3.
| 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 | 4 |
| FAST Past Paper 02 | 4 |
| FAST Past Paper 01 | 3 |
Analytic Geometry MCQs from the FAST-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · FAST Past Paper 07 · Analytic Geometry
The point that divides the join of A(2, −3) and B(8, 9) internally in the ratio 1 : 2 is:
- A.(5, 3)
- B.(6, 5)
- C.(4, 1)
- D.(4, 3)
Show answer
Answer: C. (4, 1) — ((1·8 + 2·2)/3, (1·9 + 2·(−3))/3) = (12/3, 3/3) = (4, 1).
- Q2 · FAST Past Paper 06 · Analytic Geometry
The point on the x-axis that is equidistant from (2, 3) and (6, 1) is:
- A.(4, 0)
- B.(3, 0)
- C.(0, 3)
- D.(2, 0)
Show answer
Answer: B. (3, 0) — Let the point be (x, 0): (x − 2)² + 9 = (x − 6)² + 1, so −4x + 13 = −12x + 37 and x = 3.
- Q3 · FAST Past Paper 05 · Analytic Geometry
The point that divides the line segment joining A(1, −2) and B(7, 4) externally in the ratio 2 : 1 is:
- A.(5, 2)
- B.(3, 0)
- C.(13, 10)
- D.(−5, −8)
Show answer
Answer: C. (13, 10) — External division: ((2 × 7 − 1 × 1)/(2 − 1), (2 × 4 − 1 × (−2))/(2 − 1)) = (13, 10).