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Relation b/w roots and the coefficients of quadratic equations Quiz

MCQ: If a > 0, then the function ƒ(x) = ax² + bx + c has a minimum value at

1. x = a/2b
2. x = -a/2b
3. x = -b/2a
4. None of Above

C

Period of Trigonometric Functions Quiz

MCQ: The period of 3sin(3x) is

1. π/3
2. π/2
3. 2π/3
4. π

C

Fourth Root of Unity Quiz

MCQ: If ω is the imaginary cube root of unity, then the quadratic equation with roots -3ω and -3ω² is

1. x² + 3x + 9 = 0
2. x² - 3x + 9 = 0
3. x² - 2x + 4 = 0
4. x² + 2x + 4 = 0

B

when Q(x) has repeated linear factors Quiz

MCQ: Partial fractions of 1/(x²-4) are equivalent to

1. A/(x+2) + B/(x-2)²
2. A/(x-2) + B/(x+2)²
3. A/(x+2) + B/(x-2)
4. None of Above

C

Algebra Problems Quiz

MCQ: If ƒ(x) = √(x² +1, then domain of f is

1. [-∞,-1]∪[1,∞]
2. [-∞, ∞]
3. [-∞,-2]∪[2,∞]
4. [-∞,-2]∪[3,∞]

B