Question # 1

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

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4

16

8

64

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

Solution set of the simultaneous equations : x + y = 1, x - y = 1 is:

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{(0,0)}

{(1,0)}

{(0,1)}

{(1,1)}

Sum of all three cube roots of unity is:

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1

-1

0

3

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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c = 0

b = 0, c = 0

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

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

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rational

irrational

equal

complex

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

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0

1

-1

2

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quadratic equation

reciprocal equation

exponential equation

none of these

Four fourth roots of 625 are:

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±5,±5i

±5,±25i

±25,±25i

none of these

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1

0

2

3

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

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

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reciprocal equation

exponentialequation

radicalequation

none of these

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

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

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7

-7

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

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