Question # 1

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1

0

2

3

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

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0

1

-1

2

Sum of all three cube roots of unity is:

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1

-1

0

3

If α, ß are complex cube roots of unity, then 1 + αⁿ + ßⁿ = .......... where n is a positive integer divisible by 3:

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1

3

2

4

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

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rational

irrational

equal

complex

3^2x - 3^x - 6 = 0 is:

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reciprocal equation

exponentialequation

radicalequation

none of these

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none of these

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quadratic equation

reciprocal equation

exponential equation

none of these

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i

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

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rational

irrational

equal

complex

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

Which one is exponential equation:

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ax² + bx + c = 0

ax + b = 0

2^x = 16

Equations having a common solution are called:

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linear

quadratic

homogeneous

simultenaeous

Solution set of the simultaneous equations : x + y = 1, x - y = 1 is:

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{(0,0)}

{(1,0)}

{(0,1)}

{(1,1)}

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

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linear equation

Quadraticequation

cubicequation

radicalequation

Which one is radical equation:

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ax² + bx + c

ax + b = 0

2^x = 16

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c = 0

b = 0, c = 0

The ration of the sum and product of roots of 7x² - 12x + 18 = 0 is:

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7:12

2:3

3:2

7:18

Solution set of the equation x² - 3x + 2 = 0 is

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{-1, 2}

{1, -2}

{-1, -2}

{1, 2}

A numbers exceeds its square root by 6, the number is:

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6

3

9

none of these

For what value of k, the roots of the equation x² + √k x + 2 = 0 are equal:

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1

8

2

4

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