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

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real and equal

complex

rational

irrational

Four fourth roots of 625 are:

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±5,±5i

±5,±25i

±25,±25i

none of these

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linear equation

Quadraticequation

cubicequation

radicalequation

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 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

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

Which one is exponential equation:

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ax² + bx + c = 0

ax + b = 0

2^x = 16

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i

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4

16

8

64

No. of ways of solving a quadratic equation:

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1

3

2

4

The other name of quadratic equation is:

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linear equation

1st degree equation

2nd degree equation

none

How many complex cube roots of unity are there:

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2

0

1

3

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c = 0

b = 0, c = 0

For what value of k, the sum of the roots of the equation x² + kx + 4 = 0 is equal to the product of its roots:

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±1

4

±4

-4

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none of these

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

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

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6

3

9

none of these

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

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

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{-1, 2}

{1, -2}

{-1, -2}

{1, 2}

If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the quotient P(x) + Q(x) will produce a polynomial of degree:

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m . n, plus a quotient

m - n, plus a remainder

m ÷ n, plus a factor

m + n, plus a remainder

Sum of all four fourth roots of unity is:

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1

0

-1

3

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