Question # 1

Factors of x² + y² are:

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(x + iy) (x - iy)

(x + y) (x - y)

(x + y) (x + y)

none

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

Division of a natural number by another natural number gives:

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always a natural number

always an integer

always a rationalnumber

always an irrational number

Truth table containing all the values true is called:

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absurdity

conjunction

tautology

none

No. of arrangements of the letters of the word PAKPATTAN can be made, taken all together ?

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15130

15120

1512

none of these

The middle terms of (x+y)²³ are:

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T₁₀,T₁₁

T₁₁,T₁₂

T₁₂,T₁₃

none of these

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5

14

20

6

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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quadratic equation

reciprocal equation

exponential equation

none of these

Modulus of 15 i + 20 is:

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20

15

25

none of the above

The period of tan x is:

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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 amplitude and period of 3 sin x are:

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3, π

2, 2π

3, 3π

3, 2π

Which number cannot be a term of a geometric sequence ?

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0

1

-1

r

Reciprocals of the terms of the geometric sequence form:

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A.P

G.P

H.P

none

If A is a square matrix, then A - A^t is:

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Probability of an impossible event is:

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0

1

-1

∞

If a_n-3 = 2n - 5 then a_n =

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2n-1

2n+1

2n+3

none

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x-axis

y-axis

y = x

y = -x

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