Question # 1

w⁷³= ______

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0

1

w

w²

For any integer k, wⁿ= ______ when n = 3k

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1

2

0

-4

The roots of (b-c)x2+(c-a) x+a-b=0 are equal if

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2b = a+c

2a = b+c

2c = a+b

a + b + c =0

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1

2

0

4

The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is

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(-3,10)

(-3,-10)

(3,10)

(3,-10)

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

If a parabola opens down, then its vertex is at the

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Right of the parabola

Left of parabola

Lowest point on the parabola

Highest point on the parabola

The product of the four fourth roots of unity is

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0

1

-1

None of these

If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is

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x²+ Sx - P = 0

x²- Sx + P = 0

x²- Sx - P = 0

X²+ Sx + P = 0

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

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-5

5

0

1

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

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-1

0

2

1

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b = c

a = c

b = 0

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Roots of the equation x²- 7x + 10 = 0 are

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{2, 5}

{-2, 5}

{2,5}

{-2,-5}

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0

-1-w²

w¹¹= ______

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0

1

w

w²

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

There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

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Polynomial of degree 0

Polynomial of degree 2

Quadratic equation

None of these

The roots of ax2+bx+c=0 are

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Rational ⇔ b2 -4 ac ≥ 0

Irrational ⇔ b2-4 ac > 0

Real ⇔ b2-4 ac ≠ 0

Rational⇔ b2-4 ac = 0

If sinαand cosαare the roots of the equation px²+ qx + r =0, then

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p²- q²+ 2pr = 0

(p + r)²= q²- r²

p²+ q²- 2pr = 0

(p - r)²= q²+ r²

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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Lies between 4 and 7

Lies between 5 and 9

Has no value between 4 and 7

Has no value between 5 and 9

w⁴= ______

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0

1

w

w²

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Linear equation

Quadratic equation

Cubic equation

None of these

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

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The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

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ECAT Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers

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