Question # 1

An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

if a_{9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is}

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65

67

71

75

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

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∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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360°

180°

90°

None of these

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If n is a positive integer then n! is

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(n - 1) (n - 2) .....3,.2.1

n(n - 1) (n - 2) ...3.2.1

n(n - 1 ) ( n -2) ... 3

None of these

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Range of cotθis

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(+∞to -∞)

(-1 to +1)

(-5 to +5)

Set of even numbers only

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The law of of sines

The law of tangents

The law of consines

None of these

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

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x - y = -6

x - y < -6

x - y > -6

None

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Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

∀x,y,z ∈ R and z 0,then

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x > y ⇒ xz > yz

x<y ⇒ xz < yz

x < y ⇒ xz > yz

None of these

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none of these

If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

Rational number is a number which can be written as a terminating decimal fraction or a

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Non-terminating decimal fraction

Non-recurring

Recurring decimal fraction

a, b and c

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a^x

a^xIn a

The number of x-intercepts of y= sin x in his period

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0

1

2

3

2x = 3 is a conditional equation it is true for

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2

3

3/2

2/3

A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

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Constant function

Variable value

Function of upper limit

All

If x,y are two -ve distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

Domain of cotθis

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If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

(2.02)4 s equal to

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16

16.6496

17

18

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