Question # 1

No. of ways of solving a quadratic equation:

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1

3

2

4

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

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rational

irrational

equal

complex

The roots of the equation:

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complex

irrational

rational

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

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linear equation

Quadraticequation

cubicequation

radicalequation

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c = 0

b = 0, c = 0

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

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6

3

9

none of these

Equations having a common solution are called:

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linear

quadratic

homogeneous

simultenaeous

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

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

Synthetic division is a process of:

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division

subtraction

addition

multiplication

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 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

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4

16

8

64

How many complex cube roots of unity are there:

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2

0

1

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

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

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real and equal

complex

rational

irrational

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

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0

1

-1

2

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

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Mathematics FA Part 1 Chapter 4 Online Test MCQs With Answers

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