Question # 1

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

Which is an explicit function

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y = x² +2x -1

x² +xy +y² =2

xy² -y +9/xy =1

All are

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

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[a_{ij -}b_ji]

[a_{ij -}b_ij]

[a_{ij] - [}b_ij]

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

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Addition

Multiplication

Division

Subtraction

In which quadrant is the solution of the equation sin x - 1 = 0

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II quadrants

II and III quadrants

III and Iv quadrants

I quadrant

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

If Cⁿ_r, Pⁿ_r = 24:1 then r = ?

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1

2

3

4

If A = [a_ij] and b = [b_ij] are the matrices of the order 3x3 then A-B=

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Circle

Ellipse

Parabola

Hexagon

Tan (π + Tan^-1 x) =?

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Tan x

X

-x

Cot^-1 x

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

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b

-b

-a

(a - b)²

If i,m,n are the direction cosines of a vector O̅P̅ then

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I² + m² + n² =0

I² - m² + n² =1

I² + m² + n² =1

I² + m² - n² =0

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

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18 years

36 years

8 years

16 years

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

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8

2√2

4

64

If a line passes through origin then the equation of the line is

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y = m/x

y = mx

x = my

None

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

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0

1

-1

2

The cube roots of unity ω = -------------------------

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1-i √-3 / 2

-1+i √-3 / 2i

-1+i √3 / 2

1+i √3 / 2

If the order of A is n x m. Then order of kA is

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

Which of the following is the subset of all sets ?

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A ≠ C

B = C

A = B

A ≠ B

(x+2)² = x² +4x +4 is

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1

2

3

4

If the 9^th tern of A.P is 8 and the 4^th term is 20. then the first term is

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1

2

-2

-1

An angle of one radian is equivalent to

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90^o

60^o

67^o

57^o, 18^o

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

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3

-3

13

-13

F(x) = xx decreases in the interval

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(0,e)

(0.1)

(-∞.0)

None

What is the period of Cot x?

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2π

π

π/2

4π

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

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X

φ

Universal set

r + 3 > 5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 + 4

None

If A and B are two events then P(A∪B) =? (when A and B are disjoint)

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P(A) - P(B)

P(A) x P(B)

P(A) + P(B)

P(A) + P(B) -P(A∩B)

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

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

ω⁸⁸ = ?

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A and B are multiplicative inverse of each other

A and B are additive inverses of each other

A and B are singular matrices

A and B are equal

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

The set (Z, +) forms a group

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Function on B

Range

Domain

A into B

If f₁ (x) and f₂ (x) are any two anti derivatives of a function F (x) then the value of f₁ (x) = f₂ (x)

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A variable

A constant

Undefined

Infinity

Sec^-1 x=

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Cos^-1 1/x

Cosec^-1 1/x

Cos-1 (-x)

Tan^-1 x

The number of diagonals of a six sided figure are

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9

6

12

3

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

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

The gradient of the line joining (1,4) and (-2,5) is

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3/8

-2 2/3

-1/3

2

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

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

The associative angle of 280^o is

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100^o

10^o

80^o

-80^o

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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

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25, 20

20, 10

20, 5

15, 10

If 4 - x > 5, then

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x > 1

x > -1

x < 1

x < -1

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

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4

8

14

7

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)

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

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

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

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

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

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n(n +1)/2

n +1/2

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

n³

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

For any set X, X∪X is

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15

15i

-15i

-15

The two consecutive positive integers whose product is 56 are

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7, 8

14, 4

28, 2

56, 1

Period is Tan x/5 is

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5π

4π

2π

π/5

Complex roots of real quadratic equation occur in

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Nilpotent matrix

Singular matrix

Non singular matrix

Diagonal matrix

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

Every prime number is also

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Rational number

even number

Irrational number

multiple of two numbers

Any point where f is neither increasing nor decreasing and f(x) =0 at that point is called a

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Minimum

Maximum

Stationary point

Constant

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

A standard deck of 52 cards shuffled what is the probability of choosing the queen of the diamonds

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1/5

1/13

5/52

1/52

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

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6

12

18

36

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

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

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(10,0)

(8,8)

(8,4)

(0,10)

In the figure angle A is =

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15

60

90

20

If Cosθ =0, Then θ=

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nπ/2

(2n + 1)π/2

(2n - 1)π/2

(n ±1)π/2

If the diagonal of a square has coordinates (1,2) and(5,6) the length of a side is

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3

4

1

5

The area of circle of unit radius=

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0

1

4

π

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

The equation of two polynomials P(x)/Q(x) where Q(x) ≠ 0 with no common factor is called

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12

1

10

-10

√23 is

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A rational number

A irrational number

An even integer

A factor of 36