Question # 1

If n is not natural number, then the expansion (1 + x)ⁿis valid for

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It is not possible to find the exact value of

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π

√9

∛27

√1

The maximum value of sin x + cos x is

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sin(a + β)+sin(a -β) =_____;

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2cosa cosβ

2sina cosβ

2cosa sinβ

-2sina sinβ

The vertex of the standard position angles lies on

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(0,0)

(0,1)

(1,0)

(1,1)

The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

Which of the following is a quadrantal angle

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30°

45°

60°

90°

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9

-9

0

1

Each complex cube root of unity is square of

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itself

1

-1

the other

Ifᵨ> 1 , then the conic, is:

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Ellipse

Parabola

Hyperbola

None of these

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none of these

In R the right cancellation property w.r.t. addition is

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Zero is

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An irrational number

A rational number

A negative integer

A positive number

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

If b²- 4ac is positive then the roots of the equation are

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Real

Imaginary

Positive

Negative

∫x/Sin² x dx is equal to:

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x cot x + ln|sin⁡x |

-x cot x - ln|sin⁡x |

x cot x - ln|sin⁡x |

x. tan x- ln|sec⁡x |

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The first three terms in the expansion of (1 - x)^-3are

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

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2

3

4

1

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

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A

-A

A^t

A^-

The domain of an infinite sequence is a

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Set of natural numbers

R

Subset of N

None of the above

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t to adition

f(x) = ax + b will be an identity function if

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a = 1 , b = 1

a = 1 , b = 0

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

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- x

Infinite set

Φ

{-4,4}

If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =

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4

1/2

3

4/3

i²=

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1

2

-1

0

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

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