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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none of these

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linear equation

Quadraticequation

cubicequation

radicalequation

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

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

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

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

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7

-7

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 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

Equations having a common solution are called:

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linear

quadratic

homogeneous

simultenaeous

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

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

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quadratic equation

reciprocal equation

exponential equation

none of these

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

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rational

irrational

equal

complex

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

Sum of all three cube roots of unity is:

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1

-1

0

3

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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4

16

8

64

Four fourth roots of 625 are:

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±5,±5i

±5,±25i

±25,±25i

none of these

If 4^x = 2, then x equals:

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2

1

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

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reciprocal equation

exponentialequation

radicalequation

none of these

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Mathematics FA Part 1 Chapter 4 Online Test MCQs With Answers

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