Question # 1

Another name of quadratic equation is

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Polynomial

2nd degree polynomial

Linear equation

simaltaneous equations

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

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Real and equal

Real and distinct

Complex

None of these

A polynomial P(x)has a factor (x-a)if P(a) =

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a

x

1

0

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

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

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-1

0

2

1

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

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Rational

Irrational

Complex

None of these

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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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

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b = c

a = c

b = 0

Which of the following is factor of x11+a11, where n is an odd integer

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x-a

x+a

2x-a

2x+a

Roots of the equation 2x²- 7x + 3 = 0 are

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Rational

Irrational

Complex

None of these

5x³+ 3x - is a ______

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Polynomial of degree 3

Polynomial of degree 2

Polynomial of degree 1

Polynomial of degree 0

w¹¹= ______

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0

1

w

w²

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

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

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-5

5

0

1

w⁴= ______

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0

1

w

w²

Each complex cube root of unity is square of

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itself

1

-1

the other

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

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

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

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)

(2 + w) (2 + w²) = ______

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1

2

3

0

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

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4

6

8

10

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

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Reciprocal equation

Exponential equation

Radical equation

None of these

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Linear equation

Quadratic equation

Cubic equation

None of these

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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