Question # 1

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)

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

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

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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(-1, 2)

(-1, 1)

(1, 2)

{-1}

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

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0

2

18

14

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

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

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-5

5

0

1

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

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Rational

Irrational

Complex

None of these

In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are

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6, 10

-6, -10

8, 8

-8, -8

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

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

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Real and equal

Real and distinct

Complex

None of these

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

Sum of all the four forth roots of unity is

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1

-1

i

0

w²⁹= ______

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0

1

w

w²

(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

If the roots of x²+ ax + b = 0 are non-real, then for all real x, x²+ ax + b is

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Negative

Positive

Zero

Nothing can be said

If 3x⁴+ 4x³+ x - 5 is divided by x + 1, then the reminder is

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0

7

-7

5

The graph of the quadratic equation is

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Straight line

Circle

Parabola

elipse

Find a if 1 is a root of the equation x²+ ax + 2 = 0

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3

-3

2

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 minimum value of the quadratic function f(x) = 5 x 2-11,is

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7

-7

6

-11

x⁴- 3x³+ 3x + 1 = 0 is called ______

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Reciprocal equation

Exponential equation

Radical equation

None of these

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

The set of real roots of the equation log_{(5x + 4)}(2x +3)³- log_{(2x + 3)}(10x²+ 23x + 12) = 1 is

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{-1}

{-3/5}

Empty set

{-1/3}

(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

If ax + bx + c =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

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The quadratic formula is

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

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-6

2

-2

6

The maximum value of the quadratic function f(x) = -2x2+20x,is

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4

3

50

7

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