Question # 1

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

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π/3

-π/3

2π/3

5π/3

An angle of one radian is equivalent to

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90^o

60^o

67^o

57^o, 18^o

π/3 is

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A positive integer

A negative integer

A natural number

An irrational number

x² +2x -25 = 0 is

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1

2

3

4

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

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X=2, y=-1

X=-2, y=1

X=2, y=-i

X=2, y=2

Every prime number is also

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Rational number

even number

Irrational number

multiple of two numbers

d/dx [cos x²] =________

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-2x cos x²

-2x² sin x²

x² sin x

-2x² sin x²

The complement of set A relative to universal set U is the set

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X

φ

Universal set

If α and β be irrational roots of a quadratic equation, then

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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

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

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Cosec⁴ θ -Cosec²θ

Tan θ - Tan² θ

Cosec² θ + Cosec θ

Sinθ Cosθ

If f (x) = x/x²- 4 then which is not included in the domain of f(x)

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0

-2

1

4

Given X, Y are any two sets such that number of elements in X=28, number of elements in set Y=28, and number of elements in set X∪Y=54, then number of elements in set X∩Y=

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-7 + 2i

7 + 2i

7-2i

√53

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

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foci

Vertices

Co-vertices

eccentricity

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

Find the geometric mean between 4 and 16

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7, 8

14, 4

28, 2

56, 1

ωⁿ = ?, when n = 3k

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0

ω

1

1 / ω

What is the domain of y = Cot^-1 x?

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Set of irrational numbers only

Set of all real numbers

Set of integers only

Set of complex numbers only

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

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Harmonic series

Arithmetic series

Harmonic sequence

Geometric sequence

Period is Tan x/5 is

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5π

4π

2π

π/5

The area of circle of unit radius=

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0

1

4

π

Domain of Y = csc x is

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R - nπ, n ε I

R

R -nπ/2,nεI

All negative Integers

∫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

r + 3 > 5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 + 4

None

If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is

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True

False

Fallacious

Some times true

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

If sin θ= 3/5 Cos θ=

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1/2

3/5

4/5

1

The circle (x -2)² + (y + 3)² =4 is not concentric with the circle

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(x -2)² + (y + 3)² =9

(x +2)² + (y - 3)² =4

(x -2)² + (y + 3)² =8

(x -2)² + (y + 3)² =5

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 radius of the circle (x- 1)² + (y + 3)² =64 is

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8

2√2

4

64

If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then

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1

ω²

ω

0

The line through the center and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

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

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Same as the original determinant

Additive inverse of the original determinant

Both A and B

Adj of the original matrix

If p and r are integers P = 0, and p ≠ -r, which of the following must be true?

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p < r

p > r

p + r < 0

p - r < -0

The nth term in G.P 3,-6,12,............ is

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25, 20

20, 10

20, 5

15, 10

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

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a-b =-2

a+b = 0

A-b =5

2a + 3b =1

If sinθ = 1 then θ =

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2nπ +π/2

2nπ

2π +n

Nπ +π/2

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

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(3,2)

(2,3)

(1,8)

(0,3)

An angle 0 is such that tan θ = 1 and cos θ is negative then

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Sin θ is positive

Cos θ = √2/4

cosθ = -1

sec θ is negative

Let A, B, and C be any sets such that A∪B=A∪C and A∩B=A∩C then

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A ≠ C

B = C

A = B

A ≠ B

The axis of the parabola y² = 4ax is

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x =0

Y =0

X = y

X = -y

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

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1

0.5

2

0

If Cⁿ_r, Pⁿ_r = 24:1 then r = ?

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1

2

3

4

If the sum of the roots of (a + 1)x² + (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is

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Commutative law w.r.t multiplication

Associative law w.r.t addition

Distributive law w.r.t addition

Multiplication of a scalar with the matrix

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

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X =4

X = -4

Y = 3

Y = -6

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

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0

ω

1

1 / ω

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

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The student enrolled for English cannot attend any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics.

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40

30

50

20

Cos^-1 x =

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∏ = sin^-1 x

∏ + sin^-1 x

∏/2 - sin^-1 x

∏/2 +sin^-1 x

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

AreCot √3 =?

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π/2

π

2π

π/6

If Cosθ =0, Then θ=

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nπ/2

(2n + 1)π/2

(2n - 1)π/2

(n ±1)π/2

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

What is the domain of y= Sin^-1 x?

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-1 ≤ x ≤1

1 ≤ x ≤ 1

0 ≤ x ≤ π

-π/2 ≤ x ≤ π/2

If a cone is cut by a plane perpendicular to the axis of the cone then the section is a

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Parabola

Circle

Hyperbola

Ellipse

If the angle between two vectors with magnitude 8 and 2 is 60° then their scalar product is

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12

8

16

1

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

If 4 - x > 5, then

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x > 1

x > -1

x < 1

x < -1

Cos^-1 (-x) =_______.

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π +cos^-1 x

π -sin^-1 x

π +sin^-1 x

π -cos^-1 x

Two matrices A and B are conformable for multiplication (AB) if and only if

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Addition

Multiplication

Division

Subtraction

Ab > 0 and a > 0 then

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a > b

a < b

a = b

None

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

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(3,0)

(4,1)

(1,3)

None

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

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b

-b

-a

(a - b)²

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

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An identity

An equation

A polynomial

Inverse function

d/dx ∫x¹ dx =________.

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1/4 x⁴

X³

3x³

x⁴/4

The sum of the series 1+5+9+13+17+21+25+29 is:

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10 cm

20 cm

30 cm

40 cm

3/2 is

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An irrational number

Whole number

A positive integer

A rational number

Sin (2π -θ) =______.

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Cosθ

-Sinθ

-cosθ

In 30,60,90 triangle if the smallest side is 6 than the side opposite to the angle of 60^o is

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12

3

6√3

6

Domain of Cosecθ is

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is R but θ= nπ

is R but θ ≠ nπ

is R but θ ≠ 2nπ

is R but θ ≠ nπ/2

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

A function F(x) is called even if

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F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0