Question # 1

The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

The product of cube roots of unity is

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Zero

1

-1

None of these

Roots of the equation x²- x = 2 are

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{2, -1}

{1, 0}

{2, 1}

{-2, 1}

Another name of quadratic equation is

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Polynomial

2nd degree polynomial

Linear equation

simaltaneous equations

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder

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7

-2

6

1

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Polynomial of degree 0

Polynomial of degree 2

Quadratic equation

None of these

4^1+x+ 4^1-x= 10 is called

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Reciprocal equation

Exponential equation

Radical equation

None of these

w¹⁵= ______

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0

1

w

w²

If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

The graph of the quadratic equation is

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Straight line

Circle

Parabola

elipse

The standard form of the quadratic function f(x) = -x² +4x+2, is

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(x-2)²+6

-(x-2)² + 6

(x-3)²+5

(x+4)²-7

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Linear equation

Quadratic equation

Cubic equation

None of these

Roots of the equation 9x²- 12x + 4 = 0 are

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Real and equal

Real and distinct

Complex

None of these

The solution of equation x2 + 2 = 0 in the set of real number is

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Infinite set

Singleton set

Null set

None of these

The product of the four fourth roots of unity is

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0

1

-1

None of these

In quadratic equation y=ax³+bx+c, if b and c are both zero then the graph is

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Symmetric w.r.t.y-axis

Symmetric w.r.t.x-axis

Straight Line

Circle

The root of the quadratic equation are

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3

2

1

4

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

The roots of px2 - (p-q)x-q=0 are

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equal

Irrational

Rational

Imaginary

If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

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0

±1

±5

±7

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2

4

8

16

If the roots of ax²+ b = 0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0, b > 0

w^-1= ______

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0

1

w

w²

If x-2 and x-1 both are factors of x³-3x³+2x-4p, then P must equal to

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1

2

0

-2

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n if n is even

0 for any natural number n

1 if in odd

None of these

Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if

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c = 0

c = 0,b≠ 0

b = 0,c = 0

b = 0,c≠ 0

Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then

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α = β

αβ = 1

α = β

α = 1

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Reciprocal equation

Exponential equation

Radical equation

None of these

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There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

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Mathematics ECAT Pre Engineering Chapter 6 Quadratic Equations Online Test MCQs With Answers

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