COMSATS Mathematics — Quadratic Equations
Quadratic Equations is part of the Mathematics section of the NTS NAT-IE test COMSATS admits on (10 of the 90 MCQs). It breaks into 1 subtopic, and we hold 24 NAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (1)
How Quadratic Equations is tested
Across the 7 NAT-pattern papers on ParhaiKrlo, Quadratic Equations accounts for 7 questions. It appears in all 7, 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 05 | 1 |
| COMSATS Past Paper 04 | 1 |
| COMSATS Past Paper 03 | 1 |
| COMSATS Past Paper 02 | 1 |
| COMSATS Past Paper 01 | 1 |
Quadratic Equations MCQs from the NAT-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · COMSATS Past Paper 07 · Quadratic Equations
The roots of x² + bx + 9 = 0 are equal and positive. What is b?
- A.−6
- B.6
- C.−9
- D.9
Show answer
Answer: A. −6 — Equal roots: b² = 36 → b = ±6; positive roots need −b/2 > 0, so b = −6.
- Q2 · COMSATS Past Paper 06 · Quadratic Equations
The roots of x² + 1 = 0 are:
- A.1 only
- B.There are no roots, even complex ones.
- C.±1
- D.±i
Show answer
Answer: D. ±i — x² = −1, so x = ±i.
- Q3 · COMSATS Past Paper 05 · Quadratic Equations
The discriminant of x² − 4x + 1 = 0 is:
- A.20
- B.4
- C.−12
- D.12
Show answer
Answer: D. 12 — b² − 4ac = 16 − 4 = 12.