Question # 1

Complex roots of real quadratic equation always occur in:

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conjugate pair

ordered pair

reciprocal pair

none of these

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1

0

2

3

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

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 a polynomial P(x) = x2 + 4x2 - 2x + 5 is divided by x - 1, then the reminder is:

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8

-2

4

5

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

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

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

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real and equal

complex

rational

irrational

The roots of the equation:

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complex

irrational

rational

none of these

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

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6

3

9

none of these

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i

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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quadratic equation

reciprocal equation

exponential equation

none of these

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

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

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

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7

-7

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

Sum of all four fourth roots of unity is:

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1

0

-1

3

How many complex cube roots of unity are there:

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2

0

1

3

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11th Class FA Mathematics Chapter 4 Online Test MCQs With Answers

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