Question # 1

In ax² + bx + c = 0, if b² - 4ac > 0 and perfect square the roots are:

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rational

irrational

equal

complex

If 4^x = 2, then x equals:

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2

1

Sum of all three cube roots of unity is:

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1

-1

0

3

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none of these

The roots of the equation:

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complex

irrational

rational

none of these

Equations having a common solution are called:

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linear

quadratic

homogeneous

simultenaeous

The roots of the equation 25x² - 30x + 9 = 0 are;

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rational

irrational

equal

complex

If the roots of x² - bx + c = 0 are two consecutive integers, then: b² - 4ac =

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0

1

-1

2

If the Discriminant of a quadratic equation is a perfect square, then roots are:

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real and equal

complex

rational

irrational

Sum of roots of ax² + bx + c = 0 is equal to product of roots only if:

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a+c=0

b+c=0

a+b=0

a+b+c=0

One of the roots of the equation 3x2 + 2x + k = 0 is the reciprocal of the other, then k = ...............:

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3

2

1

4

If one root of 2x² + ax + 6 = 0 is 2 then the value of a is:

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7

-7

If α, ß are the roots of x² + kx + 12=0 such that α-ß = 1 then K = :

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0

±5

±7

±15

If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the product P(x) . Q(x) will be a polynomial of degree:

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m . n

m - n

m + n

m × n

If the sum of the roots of ax² - (a + 1) x + (2a + 1) = 0 is 2, then the product of the roots is:

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1

2

3

4

Four fourth roots of 625 are:

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±5,±5i

±5,±25i

±25,±25i

none of these

The other name of quadratic equation is:

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linear equation

1st degree equation

2nd degree equation

none

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4

16

8

64

Synthetic division is a process of:

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division

subtraction

addition

multiplication

Which one is exponential equation:

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ax² + bx + c = 0

ax + b = 0

2^x = 16

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i

How many complex cube roots of unity are there:

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2

0

1

3

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