Question # 1

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

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cos 2x + c

- cos 2x + c

tan 2x + c

cot 2x + c

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

Arithmetic mean between 14 and 18 is

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16

17

15

32

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1

-1

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is

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8, 15, 17

3, 4, 5

12, 15, 18

5, 12, 13

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A parabola

An ellipse

A hyperbola

A circle

The negative square root of 9 can be written as:

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-√9

√9

√18

-√18

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

In R, the additive inverse of a is

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0

1

-a

1/a

The value of sin [ arc cos (-1/2)] is

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The multiplicative inverse of -1 in the set {1-,1} is

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1

-1

±1

0

Does not exist

The roots of the equation x2 +6x-7=0,are

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1

2

1 and -7

-7

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If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a

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Circle

Hyperbola

Ellipse

Parabola

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

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The law of sines

The law of consines

The law of tangents

None of these

AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angleβat P. If AP : AB = 2 : 1 thenβ=

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In polar form of complex number r =

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The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

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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

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The law of sines is

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The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

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