Question # 1

A function F(x) is called even if

Choose an answer

F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

∫1/ax +b dx =

Choose an answer

1/a log |ax + b| +c

Log |ax + b| +c

1/b log |ax +b| +c

1/x log |ax + b| +c

The center of a circle of radius 10 is on the origin which of the following points lies with in the circle

Choose an answer

(10,0)

(8,8)

(8,4)

(0,10)

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

Choose an answer

Angle of elevation

Angle of depression

Right angle

Horizon

What is the conjugate of -7 -2i ?

Choose an answer

-7 + 2i

7 + 2i

7-2i

√53

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

Choose an answer

4

8

14

7

AreCot √3 =?

Choose an answer

π/2

π

2π

π/6

The line joining (1,3) to (a,b) has unit gradient then

Choose an answer

a-b =-2

a+b = 0

A-b =5

2a + 3b =1

Area of ΔABC=

Choose an answer

ab sin α

1/2 ab sin α

1/2 ac Sin γ

1/2 ac Sin β

Sum of integers starting from to n is

Choose an answer

n(n+1)/4

n(n+1)/6

n(n+1)/2

n(n-1)/2

If k₁ : k₂ = 1:1 then the point P dividing the line is

Choose an answer

Mid point

Extreme left point

Extreme Right point

Plies out side k₁ and k₂

In general matrices do not satisfy

Choose an answer

Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

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

Choose an answer

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

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?

Choose an answer

x- y =-6

x -y < -6

x -y > 6

None

The degree of the polynomial 2x⁴ + 3x² + 16x + 28 = x⁴ + 2x² is

Choose an answer

[a_{ij -}b_ji]

[a_{ij -}b_ij]

[a_{ij] - [}b_ij]

Tan^-1 1/x =______

Choose an answer

Sin x

Sec^-1 X

Cot^-1 X

Sin Ix/cos- Ix

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

Choose an answer

6

12

18

36

If -1 < x < 0, which of the following statement must be true?

Choose an answer

x < x² < x²

x < x³ < x²

x² < x³ < x

x²< x < x³

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

Choose an answer

2

13

7

8

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

Choose an answer

10

20

40

26

Which of the following is the equation of a line with slope 0 and passing through the point (4,3)

Choose an answer

X =4

X = -4

Y = 3

Y = -6

Write the first four term of the arithmetic sequence if a₁ = 5 and other three consecutive terms are 23,26,29

Choose an answer

18 years

36 years

8 years

16 years

If x² +y² = 4, Then dy/dx =

Choose an answer

2x +2y

4 -x²

-x/y

y/x

Sec^-1 x=

Choose an answer

Cos^-1 1/x

Cosec^-1 1/x

Cos-1 (-x)

Tan^-1 x

If P(E) is the probability that can event will occur then P(E)=

Choose an answer

1

0.5

2

0

For which of the following ordered pairs (s,t) is s + t> and s- t < -3?

Choose an answer

(3,2)

(2,3)

(1,8)

(0,3)

8 > t then

Choose an answer

(s -t) ²>(t -8)²

(s -t) ²<(t -8)²

(s -t) ²=(t -8)²

None

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

Choose an answer

40

30

50

20

If A and B are matrices of same order than (A + B)(A + B)=

Choose an answer

addition

multiplication

subtraction

None

Which of the following is solution of Tan² x = 1/3

Choose an answer

7π/6

5π/6

π/6

All

Sin(a + b) + Sin(a- b) =

Choose an answer

Sin a Cos b

Sin a Sin b

Sin a + Cos b

Sin a - 2Cos b

Which is not included in the domain of Cos^-1 x

Choose an answer

0

1

-1

2

The value of x, and y, when (x+iy)²=5+4i

Choose an answer

X=2, y=-1

X=-2, y=1

X=2, y=-i

X=2, y=2

Which of the following is the solution of Cot²x = 1/√3

Choose an answer

π/5

π/3

π/7

π/9

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

Choose an answer

m (ax)^m x^m-1

ma^m x^m-1

m a^m x^m-1

m a^m x^m-2

The common difference of the sequence 7,4,1......is

Choose an answer

1

-3

5

0

∫sec (ax + b) tan(ax + b) dx=_______

Choose an answer

sec(ax + b)/a

sec² (ax + b)/2

sec(ax + b)/x

1/2

Sin-1 (√2/2)=?

Choose an answer

π/2

π/3

3π/4

2π

Which is not a half plane

Choose an answer

ax + by < c

ax + by > c

Both A and B

None

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

Choose an answer

b

-b

-a

(a - b)²

Every prime number is also

Choose an answer

Rational number

even number

Irrational number

multiple of two numbers

The range of inequality x + 2 > 4 is

Choose an answer

(-1,2)

(-2,2)

(1,∞)

None

π/3 is

Choose an answer

A positive integer

A negative integer

A natural number

An irrational number

The sum of the interior angles for a 16 sided polygon is

Choose an answer

0

ω

1

1 / ω

The total cost of 2 apples and 3 oranges is $1.70,which of the following is true

Choose an answer

The cost of one apple

The cost of one orange

Both have equal cost per item

Cost of each single item can not be determined

x² +2x -25 = 0 is

Choose an answer

1

2

3

4

The number of ways in which 5 distinct toys can be distributed among 3 children is

Choose an answer

3⁵

5³

C⁵₃

P⁵₃

If Z= (1,2). tjem Z^-1 = ?

Choose an answer

(0.2, 0.4)

(-0.2, 0.4)

(0.2, -0.4)

(-0.2, -0.4)

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

Choose an answer

(3,0)

(4,1)

(1,3)

None

Sin^-1 x =?

Choose an answer

π/2- Sin^-1 x

π/2 -Cos^-1 x

-Sin^-1 x

-Cos^-1 x

If 0 is not an integral multiple of π/2 then Cot⁴ θ+ Cot² θ=?

Choose an answer

Cosec⁴ θ -Cosec²θ

Tan θ - Tan² θ

Cosec² θ + Cosec θ

Sinθ Cosθ

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

Choose an answer

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 length of rectangle is twice as much as its breadth. If the perimeter is 120 cm, the length of the rectangle is

Choose an answer

Same as the original determinant

Additive inverse of the original determinant

Both A and B

Adj of the original matrix

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

Choose an answer

Conjugate pair

ordered pair

reciprocal pair

quadratic function

d/dx a^x is

Choose an answer

xa^x-1

a^x

x in a

a^x in a

Derivative of strictly increasing function is always

Choose an answer

Zero

Positive

Negative

Both A and B

If Z₁ = √-36, Z₂=√-25, Z₃= √-16, then what is the sum of Z₁, Z₂ and Z₃ ?

Choose an answer

√3 I

√7

-2-1

√5

A relation in which the equality is true only for some values of the unknown variable is called

Choose an answer

An identity

An equation

A polynomial

Inverse function

Second derivative of y = x⁹ + 10x² + 2x -1 at x = 0 is

Choose an answer

10

20

12

1

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

Choose an answer

-x

does not exist

1/x

0

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

Choose an answer

Harmonic series

Arithmetic series

Harmonic sequence

Geometric sequence

The curves y =x², y= x interest at

Choose an answer

(0,0) ,(1,1)

(2,4)

(0,),(2,4)

(0,3),(-1,1)

d/dx ∫x¹ dx =________.

Choose an answer

1/4 x⁴

X³

3x³

x⁴/4

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

Choose an answer

3/4

r

v

π

The set (Z, +) forms a group

Choose an answer

Function on B

Range

Domain

A into B

0 (zero) is

Choose an answer

A irrational number

A rational number

A negative integer

A positive number

d/dx [cos x²] =________

Choose an answer

-2x cos x²

-2x² sin x²

x² sin x

-2x² sin x²

1+2+3+......+n=?

Choose an answer

n(n +1)/2

n +1/2

n(n +1)(2n +1)/6

n³

Domain of Y = csc x is

Choose an answer

R - nπ, n ε I

R

R -nπ/2,nεI

All negative Integers

The number of real roots in cube roots of 8 is ?

Choose an answer

n x m

m x n

km x n

m x kn

The set of all positive even integers is

Choose an answer

Φ

{1,2,3}

{Φ}

{0}