FAST-NU Advanced Mathematics — Quadratic Equations
Quadratic Equations 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 61 FAST-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (4)
How Quadratic Equations is tested
Across the 7 FAST-pattern papers on ParhaiKrlo, Quadratic Equations accounts for 21 questions. It appears in all 7, about 3 questions a paper. The heaviest was FAST Past Paper 07, with 3 questions.
| 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 | 3 |
| FAST Past Paper 02 | 3 |
| FAST Past Paper 01 | 3 |
Quadratic Equations MCQs from the FAST-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · FAST Past Paper 07 · Quadratic Equations
The roots of x² − 6x + k = 0 differ by 2. The value of k is:
- A.9
- B.6
- C.8
- D.5
Show answer
Answer: C. 8 — α + β = 6 and α − β = 2 give α = 4, β = 2, so k = αβ = 8.
- Q2 · FAST Past Paper 06 · Quadratic Equations
For what value of k does the equation x² − 6x + k = 0 have equal roots?
- A.6
- B.9
- C.36
- D.3
Show answer
Answer: B. 9 — Equal roots need b² − 4ac = 0: 36 − 4k = 0, so k = 9.
- Q3 · FAST Past Paper 05 · Quadratic Equations
If the discriminant of a quadratic equation with rational coefficients is a positive perfect square, its roots are:
- A.irrational and unequal
- B.complex conjugates
- C.rational and unequal
- D.equal
Show answer
Answer: C. rational and unequal — A positive perfect-square discriminant gives a rational square root, so the roots are rational and different.