Question # 1

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

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0

1

-1

2

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

Complex roots of real quadratic equation always occur in:

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conjugate pair

ordered pair

reciprocal pair

none of these

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

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reciprocal equation

exponentialequation

radicalequation

none of these

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

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{-1, 2}

{1, -2}

{-1, -2}

{1, 2}

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none of these

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c = 0

b = 0, c = 0

Which one is exponential equation:

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ax² + bx + c = 0

ax + b = 0

2^x = 16

Four fourth roots of 625 are:

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±5,±5i

±5,±25i

±25,±25i

none of these

Sum of all three cube roots of unity is:

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1

-1

0

3

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

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

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rational

irrational

equal

complex

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)}

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

If the sum of the roots of the equation kx² - 2x + 2k = 0 is equal to their product, then the value of k is:

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1

2

3

4

How many complex cube roots of unity are there:

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2

0

1

3

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

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

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real and equal

complex

rational

irrational

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linear equation

Quadraticequation

cubicequation

radicalequation

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i

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