Question # 1

If Sin θ =Cosθ then θ=

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30°

45°

60°

90°

d/dx (√x) =

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2√x

1/√x

1/2√x

None of these

P(x) = 2x⁴ -3x³ +2x-1 is polynomial of degree

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1

2

3

4

Cse π/3

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2

1

0

2/√3

The fifth term of the sequence a_n = 3n - 2 is

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3

-3

13

-13

If |A| ≠ 0 then A is called

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1

-1

±1

0

Which is in the solution set of 4x - 3y <2

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(3,0)

(4,1)

(1,3)

None

If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is

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Dom f(x) ∩ Dom g (x)

Dom f(x) ∪ Dom g(x)

[Domf(x)]² - [Dom g(x)]²

[Dom g(x)]²-[Domf(x)]²

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

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

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b

-b

-a

(a - b)²

1/x² -1 = ? (in case of making partial fraction)

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Ax +B/x² -1

A/x + B/ x- 1

A/ x+1 + B/x-1

None

Sin 720° = ________

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1

0

2

1/2

∫1/ax +b dx =

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1/a log |ax + b| +c

Log |ax + b| +c

1/b log |ax +b| +c

1/x log |ax + b| +c

π/3 is

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A positive integer

A negative integer

A natural number

An irrational number

A sequence of numbers whose reciprocals forms an arithmetic sequence is called

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Harmonic series

Arithmetic series

Harmonic sequence

Geometric sequence

Cos 315° =

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0.707

0.5

1

0

d/dx ∫x¹ dx =________.

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1/4 x⁴

X³

3x³

x⁴/4

If a rectangle has an area 81x² and length of 27x. then what is its width?

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3x

9x

3x²

9x²

Sin^-1 (-x) =

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Cos^-1 1/x

-Sin^-1 X

1/sin-1x

Sin^-1 1/x

Area of ΔABC=

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ab sin α

1/2 ab sin α

1/2 ac Sin γ

1/2 ac Sin β

ωⁿ = ?, when n = 3k

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0

ω

1

1 / ω

If 2 Sin x Cos 2 x = Sin x then?

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X = nπ+ π/6

X = nπ +π/3

X = nπ +1

X = nπ + π/2

Period is Tan x/5 is

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5π

4π

2π

π/5

There are 30 Red balls and 25 Green balls in a bag of a ball is drawn from the bag randomly what is the probability that a Blue ball comes out?

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1

0.5

0

None

Partial fraction of 1/x³-1 will be of the form

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Conjugate pair

ordered pair

reciprocal pair

quadratic function

Cot 360° =______.

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Undefined

0.707

-0.5

0

If Cosα = 3/5, Cosβ = 5/13, then

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Cos(α +β) =33/65

Sin(α +β) =56/65

sin²(α +β/2) =1/65

Cos(α +β) =63/65

If sin θ= 3/5 Cos θ=

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1/2

3/5

4/5

1

Sin^-1 (-x) =?

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Sin^-1 x

-Sin^-1 x

Cos^-1 x

-Cos^-1 x

The conic is a parabola if

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e <1

e > 1

e = 1

e = 0

Unit vector in the positive direction of x-axis is

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î

ĵ

k̂

All

Sum of integers starting from to n is

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n(n+1)/4

n(n+1)/6

n(n+1)/2

n(n-1)/2

Two dice are rolled The number of possible out come in which at least one die shows 2 is?

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5

12

11

7

The range of inequality x + 2 > 4 is

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(-1,2)

(-2,2)

(1,∞)

None

In the function v = 4/3 π r³, V is a function of

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3/4

r

v

π

If θ= 60° then

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sin θ = 1/2

tan θ = cot 30°

θ = π/4

Sec θ =4

Sec^-1 x=

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Cos^-1 1/x

Cosec^-1 1/x

Cos-1 (-x)

Tan^-1 x

The difference of two consecutive terms of an A.P is called

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Zero

One

Four

Infinite

Given eight points in a plane no three of which are collinear how many lines do the points determine?

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16

64

28

36

The set of the first elements of the ordered pairs forming a relation is called its

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-x

does not exist

1/x

0

The equation of the normal to the circle x² + 2² = 25 at (4,3) is

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3x -4y =0

3x -4y= 5

4x + 3y=5

4x - 3y =25

If in isosceles right angled triangle one side is a then hypotenuse is

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a√2

a/2

a

Cannot be determined by given

How many elements are in the sample space of two rolling dies

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6

12

18

36

If the vector 2i+4j-2k and 2i +6j+xk are perpendicular then x-7

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4

8

14

7

The number of diagonals of a six sided figure are

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9

6

12

3

Two natural numbers whose sum is 25 and difference is 5, are

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25, 20

20, 10

20, 5

15, 10

The number of ways in which we can courier 5 packets to 10 cities is

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2 x 5^o

5¹⁰

10⁵

2¹⁰

2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

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α = b/a and β = ca

α = a/b and β = -c/a

α² + β² = 1

α = -b/a and β= c/a

In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR=

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10

20

40

26

The end points of the major axis of the ellipse are called its

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foci

Vertices

Co-vertices

eccentricity

The value of Cos (1/2 Cos^-1 1/2) is equal to

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√3/2

-3/4

1/16

1/4

One of the roots of the equation 2x² + 3x + n = 0 is the reciprocal of the other, then n = --------------------

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Both A,B have the same number of columns

Both A,B do not have the same order

Number of col A is same as number of rows of B

Number of rows of A is same as number of col of B

The principal value of sin^-1 [√3/2] is

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π/3

-π/3

2π/3

5π/3

The angle a (0° < a< 180°) measured counterclockwise from positive x-axis to a non-horizontal straight line / is called the

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Rotation

Inclination

Radian

None

If sinθ = 1 then θ =

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2nπ +π/2

2nπ

2π +n

Nπ +π/2

d/dx a^x is

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xa^x-1

a^x

x in a

a^x in a

If y = (ax)^m + b^m, then dy/dx equals

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m (ax)^m x^m-1

ma^m x^m-1

m a^m x^m-1

m a^m x^m-2

x-1/(x+2)(x-2) =

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4/3(x-4) -1/3(x-1)

3/4(x+2) + 1/4(x-2)

2/3(x-2) - 4/3(x+2)

3/x - 2/x+1

The perpendicular bisector of any chord of a circle

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Passes through the center of the circle

Does not pass through the center of the circle

May or may not pass through the center of the circle

None of these

If x lies in {0, 2π} and Cosec x = 2 then x =

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π/ 6 and 5π/6

π +2nπ

nπ

2π/3 and π/3

The point (-5,3) is the center of a circle and P(7,-2) lies on the circle the radius of the circle is

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2

13

7

8

What is the conjugate of -7 -2i ?

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-7 + 2i

7 + 2i

7-2i

√53

Tan (π + Tan^-1 x) =?

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Tan x

X

-x

Cot^-1 x

120° degrees are equal to how many radians?

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π/3 radians

2π/3 radians

π/4 radians

π/2 radians

If y = sin(ax + b) then fourth derivative of y with respect to x=

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a⁴ cos (ax + b)

a⁴ sin (ax + b)

-a⁴ sin(ax +b)

a4 tan (ax + b)

If you looking a high point from the ground then the angle formed is

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Angle of elevation

Angle of depression

Right angle

Horizon

6 is

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A prime integer

An irrational number

A rational number

A odd integer

∫sec (ax + b) tan(ax + b) dx=_______

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sec(ax + b)/a

sec² (ax + b)/2

sec(ax + b)/x

1/2

If Z₁ = 1+i, Z₂ = 2+3i, then |Z₂-Z₁|=?

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√3 I

√7

-2-1

√5

A point of a solution region where two of its boundary lines intersect is called

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Boundary

Inequality

Half plane

Vertex