Question # 1

Sum of all three cube roots of unity is:

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1

-1

0

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

Which one is radical equation:

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ax² + bx + c

ax + b = 0

2^x = 16

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

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reciprocal equation

exponentialequation

radicalequation

none of these

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

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

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

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6

3

9

none of these

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

Four fourth roots of 625 are:

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±5,±5i

±5,±25i

±25,±25i

none of these

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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c = 0

b = 0, c = 0

If 4^x = 2, then x equals:

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2

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

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

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4

16

8

64

Which one is exponential equation:

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ax² + bx + c = 0

ax + b = 0

2^x = 16

Synthetic division is a process of:

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division

subtraction

addition

multiplication

No. of ways of solving a quadratic equation:

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1

3

2

4

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

In ax² + bx + c = 0, if b² - 4ac > 0 and perfect square the roots are:

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rational

irrational

equal

complex

Sum of all four fourth roots of unity is:

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1

0

-1

3

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