Question # 1

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

A quadratic equation in x is an equation that can be witten in the form

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ax²+ b = 0

ax³ +b²+c=0

ax² +bx+c=0

ax³ +bx³+cx=0

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

Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when

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q = 0, r = 0,p ≠ 0

p = 0,qr≠ 0

r = 0,pq≠ 0

q = 0, pq≠ 0

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

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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Two real roots

Two positive roots

Two negative roots

One positive and one negative root

Roots of the equation x²+ 7x + 12 = 0 are

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

The condition for ax2 + bx c to be expressed as the product of linear polynomials is

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b4 - 4ac =0

b4- 4ac ≥0

b4- 4ac <0

b4= 4ac

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0

-1-w²

The graph of the quadratic equation is

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Straight line

Circle

Parabola

elipse

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(-1, 2)

(-1, 1)

(1, 2)

{-1}

If ax²+ bx + x = 0 is satisfied by every value of x, then

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b = 0, c = 0

c = 0

b = 0

a = b = c = 0

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

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0

2

18

14

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

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3

5

-3

-5

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1

-1

5

2

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0

1

2

3

(2 + w) (2 + w²) = ______

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1

2

3

0

A polynomial of arbitrary degree

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f(x) = o

f(x) = x

f(x) = a

f(x) = ax + b,a ≠ 0

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

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0

-1

1

2

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

If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is

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8

12

10

14

w^-12= ______

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0

1

w

w²

The product of cube roots of unity is

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Zero

1

-1

None of these

The roots of the equation ax²+ bx + x = 0 are real and distinct if

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b²- 4ac <0

b²- 4ac = 0

b²- 4ac > 0

None of these

Each complex cube root of unity is square of

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itself

1

-1

the other

w¹⁵= ______

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0

1

w

w²

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

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2

5

2,5

7

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

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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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