Question # 1

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

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0

2

18

14

w¹⁵= ______

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0

1

w

w²

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Linear equation

Quadratic equation

Cubic equation

None of these

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Polynomial of degree 0

Polynomial of degree 1

Polynomial of degree 2

Polynomial of degree n

The roots of (x - a)(x - b) = ab x2 are always

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Real

Depends upon a

Depends upon b

Depends upon a and b

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

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

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3

5

-3

-5

If 2x^1/3+ 2x^-1/3= 5, then x is equal to

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1 or -1

2 or 1/2

8 or 1/8

4 or 1/4

(1+w)(1+w2)(1+w4)(1+w8)....50 factors

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0

-1

1

2

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

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c/a

-c/a

b/a

-b/a

In quadratic equation f(x) = ax²,if a >0, then the graph of parabola

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Opens up

Opens down

close up

symmetric w.r.t.x.axis

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1

-1

5

2

If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

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-5

5

0

1

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4

6

8

10

x⁴- 3x³+ 3x + 1 = 0 is called ______

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Reciprocal equation

Exponential equation

Radical equation

None of these

The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is

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a > 0

a < 0

a≠ 0

a≠ 0,b ≠ 0

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The root of the quadratic equation are

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3

2

1

4

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

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Real and equal

Real and distinct

Complex

None of these

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1

2

0

4

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

Roots of the equation x²+ 2x + 3 = 0 are

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Real and equal

Real and distinct

Complex

None of these

The solution of the quadratic equation x2 -7x + 10=0, is

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2

5

2,5

7

w⁴= ______

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0

1

w

w²

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0

1

2

None of these

The sum of the roots of the equation x2 -6x +2 = 0 is

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-6

2

-2

6

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

If the roots of ax²- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is

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

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