Question # 1

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0

1

2

3

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Polynomial of degree 0

Polynomial of degree 2

Quadratic equation

None of these

Another name of quadratic equation is

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Polynomial

2nd degree polynomial

Linear equation

simaltaneous equations

If the roots of 3x2+kx + 12 = 0 are equal then k = ______

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Lies between 4 and 7

Lies between 5 and 9

Has no value between 4 and 7

Has no value between 5 and 9

If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

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1

-1

5

2

The expression x2 - x + 1 has

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One proper linear factor

No proper linear factor

Two proper linear factors

None of these

The vertex of the graph of the quadratic function f(x) = x2 -10, is

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(0 , -10)

(-10,0)

(10,0)

(0,10)

The two parts into which 57 should be divided so that their product is 782 are

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43,14

34,23

33,24

44,13

The roots of the equations will be equal if b²- 4ac is

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Positive

Negative

1

Zero

The product of cube roots of unity is

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Zero

1

-1

None of these

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

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1

2

0

-1

The quadratic equation 8 sec²θ- 6 secθ+1 = 0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

w^-1= ______

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0

1

w

w²

The roots of the equation will be irrational if b²- 4ac is

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Positive and perfect square

Positive but not a perfect square

Negative

Zero

If one root of the equation ix²- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is

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-i

2 + i

i

2 - i

If a polynomial p(x) is divided by x-c, then the remainder is

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p(x)

x-c

c

P(c)

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The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

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4

64

8

All values of k

(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if

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a+b=c+d

a+c=b+d

a+d=b+c

All are correct

Roots of the equation x²+ 5x - 1 = 0 are

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Rational

Irrational

Complex

None of these

The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

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ECAT Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers

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