Question # 1

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

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(-1, 2)

(-1, 1)

(1, 2)

{-1}

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4

6

8

10

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0

1

2

None of these

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

Ifα,βare the roots of ax²+ bx + c = 0 andα+ h,β+ h are the roots of px²+ qx + r=0, then h =

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For the equation |x²| + |x| -6 =0, the roots are

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One and only one real number

Real with sum one

Real with sum zero

Real with product zero

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0

1

2

3

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

w⁷³= ______

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0

1

w

w²

The roots of the equation x2 +6x-7=0,are

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1

2

1 and -7

-7

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

If x² + px + 1 is a factor of ax³+ bx +c, then

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a²+ c²= -ab

a²- c²= -ab

a²- c²= ab

None of these

w⁴= ______

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0

1

w

w²

x⁴- 3x³+ 3x + 1 = 0 is called ______

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Reciprocal equation

Exponential equation

Radical equation

None of these

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

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n if n is even

0 for any natural number n

1 if in odd

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

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-5

5

0

1

The two parts into which 57 should be divided so that their product is 782 are

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43,14

34,23

33,24

44,13

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

w²⁸+ w³⁸= ______

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0

1

w

-1

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