1. The standard form of a quadratic equation is:
(A) ax²+bx=0
(B) ax²=0
(C) ax²+bx+c=0
(D) ax²+c=0
2. The roots of the equation x²+4x–21=0 are:
(A) (7,3)
(B) (–7,3)
(C) (–7,–3)
(D) (7,–3)
3. To make x²–5x a complete square we should add:
(A) 25
(B) 25/4
(C) 25/9
(D) 25/16
4. The factors of x²–7x+12=0 are:
(A) (x–4)(x+3)
(B) (x–4)(x–3)
(C) (x+4)(x+3)
(D) (x+4)(x–3)
5. The quadratic formula is:
(A) (-b±√(b²-4ac))/2a
(B) (-b±√(b²+4ac))/2a
(C) (b±√(b²-4ac))/2a
(D) (b±√(b²+4ac))/2a
6. A second degree equation is known as:
(A) Linear
(B) Quadratic
(C) Cubic
(D) None of these
7. Factors of x³–1 are:
(A) (x–1)(x²–x–1)
(B) (x–1)(x²+x+1)
(C) (x–1)(x²+x–1)
(D) (x–1)(x²–x+1)
8. To make 49x²+5x a complete square we must add:
(A) (5/14)²
(B) (14/5)²
(C) (5/7)²
(D) (7/5)²
9. lx²+mx+n=0 will be a pure quadratic equation if:
(A) l=0
(B) m=0
(C) n=0
(D) l,m=0
10. If the discriminant b²–4ac is negative, the roots are:
(A) Real
(B) Rational
(C) Irrational
(D) Imaginary
11. If the discriminant b²–4ac is a perfect square, its roots will be:
(A) Imaginary
(B) Rational
(C) Equal
(D) Irrational
12. The product of roots of 2x²–3x–5=0 is:
(A) 5/2
(B) 5/2
(C) 2/5
(D) 2/5
13. The sum of roots of 2x²–3x–5=0 is:
(A) 3/2
(B) 3/2
(C) 2/3
(D) 2/3
14. If 2 and –5 are the roots, then the equation is:
(A) x²+3x+10=0
(B) x²–3x–10=0
(C) x²+3x–10=0
(D) 2x²–5x+1=0
15. If ±3 are the roots, then the equation is:
(A) x²–3=0
(B) x²–9=0
(C) x²+3=0
(D) x²+9=0
16. If S is sum and P is product of roots, then equation is:
(A) x²+Sx+P=0
(B) x²+Sx–P=0
(C) x²–Sx+P=0
(D) x²–Sx–P=0
17. Roots of x²+x–1=0 are:
(A) Equal
(B) Irrational
(C) Imaginary
(D) Rational
18. If the discriminant is zero, then roots are:
(A) Imaginary
(B) Real
(C) Equal
(D) Irrational
19. Sum of roots of ax²–bx+c=0 is:
(A) c/a
(B) c/a
(C) b/a
(D) b/a
20. Product of roots of ax²+bx–c=0 is:
(A) c/a
(B) c/a
(C) a/b
(D) a/b