Question # 1

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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zero

non-singular

singular

none of these

To draw general conclusions from a limited number of observations is called:

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logic

proposition

induction

deduction

If z = x + i y = r (cos Θ + i sin Θ), then arg z is:

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tan Θ

cos²Θ + sin²Θ

r

Θ

Fifth term of the sequence 2, 6, 11, 17.

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24

41

32

tan^-1 (-x) =

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tan^-1x

cot^-1x

-tan^-1x

-cot^-1x

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additive property

multiplicative inverseproperty

transitive property

negative property

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9

-9

-6

none

The conjunction of two statements p and q is denoted by:

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3:5:2

3:2:1

1:2:3

y = tan-1 x if and only if x = tan y, where:

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-1 < x < 1 and - π < y < π

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3×1

1×3

3×3

1×1

No. of signals made by 4 flags of different colors using 2 flags at a time:

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6

12

60

none

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3

-3

1/3

-1/3

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a + c = b + d

a + b = c + d

a - b = c - d

None of these

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{1, 2, 3}

{5, 6, 7}

{4}

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1

0

2

3

Factors of x² + y² are:

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(x + iy) (x - iy)

(x + y) (x - y)

(x + y) (x + y)

none

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The next term of the sequence-1, 2, 12, 40, .........is:

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112

212

144

none

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