Question # 1

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

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)}

Complex roots of real quadratic equation always occur in:

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conjugate pair

ordered pair

reciprocal pair

none of these

Sum of all three cube roots of unity is:

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1

-1

0

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

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1

0

2

3

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 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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linear equation

Quadraticequation

cubicequation

radicalequation

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

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real and equal

complex

rational

irrational

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 product P(x) . Q(x) will be a polynomial of degree:

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m . n

m - n

m + n

m × n

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c = 0

b = 0, c = 0

The other name of quadratic equation is:

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linear equation

1st degree equation

2nd degree equation

none

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

Which one is exponential equation:

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ax² + bx + c = 0

ax + b = 0

2^x = 16

Four fourth roots of 625 are:

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±5,±5i

±5,±25i

±25,±25i

none of these

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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

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

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7

-7

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