Question # 1

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

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(0.2, 0.4)

(-0.2, 0.4)

(0.2, -0.4)

(-0.2, -0.4)

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

Tan (π + Tan^-1 x) =?

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Tan x

X

-x

Cot^-1 x

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

The two different parts of the hyperbola are called is

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Vertices

Directrices

Nappes

Branches

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

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

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

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

If sinθ = 1 then θ =

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2nπ +π/2

2nπ

2π +n

Nπ +π/2

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

d/dx a^x is

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xa^x-1

a^x

x in a

a^x in a

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

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40

30

50

20

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

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

The associative angle of 280^o is

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100^o

10^o

80^o

-80^o

The two consecutive positive integers whose product is 56 are

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7, 8

14, 4

28, 2

56, 1

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

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n(n +1)/2

n +1/2

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

n³

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)

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

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

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

Domain of Y = csc x is

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R - nπ, n ε I

R

R -nπ/2,nεI

All negative Integers

In the triangle Δ ABC, where C is the right angle Tan A + Tan B=

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A +B

C² /AB

A²/BC

B²/AC

The equation of the line with gradient 1 passing through the point (h,k) is

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Y = x+ k-h

Y = k/hx +1

Y = x + h -l

Ky = hx =1

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

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10

20

12

1

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

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Conjugate pair

ordered pair

reciprocal pair

quadratic function

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

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(3,0)

(4,1)

(1,3)

None

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

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1

0.5

2

0

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

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

If x < y, 2x = A and 2y = B then

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A =B

A < B

A< X

B < y

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

Corola available in 5 models 8 colours and 3 sizes how many Corola must a local dealer have no hand in order to have one of each kind avialable?

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24

120

16

39

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

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7π/6

5π/6

π/6

All

Sin^-1 x =?

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π/2- Sin^-1 x

π/2 -Cos^-1 x

-Sin^-1 x

-Cos^-1 x

Sin x + Cos x=1 x=

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π

π/2

π/3

π/4

A function F(x) is called even if

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F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

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

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foci

Vertices

Co-vertices

eccentricity

The sum of the ages of Nazish and his son is 56 years. Eight years ago. Nazish was 3 time as old as his son. How old is the son now?

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m = n

m ≠ n

mn = 1

mn = 0

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

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

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Mid point

Extreme left point

Extreme Right point

Plies out side k₁ and k₂

F(x) = xx decreases in the interval

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(0,e)

(0.1)

(-∞.0)

None

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

If A = (3,8) and B = (5,6) then the distance between A and B is

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2√2

2

1

6

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

0 (zero) is

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A irrational number

A rational number

A negative integer

A positive number

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

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

6 is

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A prime integer

An irrational number

A rational number

A odd integer

Graph of the equation X² + y² = 4 is

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a circle

an ellipse

a parabola

A square

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

Tan^-1 1/x =______

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Sin x

Sec^-1 X

Cot^-1 X

Sin Ix/cos- Ix

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

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3x

9x

3x²

9x²

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

Which is a proper rational fraction

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3x - 7/x² +4

2x² - 5/x² + 4

3x⁴/2x² - 15

All are proper rational fraction

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

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

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1

2

3

4

There are 30 Red, 20 Green and some Blue bells in a bag if the probability of finding a Red ball is 1/3,how many are red balls in the bag

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120

20

40

90

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

If A and B are matrices such that AB=BA=I then

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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 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

The area of circle of unit radius=

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0

1

4

π

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

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addition

multiplication

subtraction

None

Sin^-1 (-x) =

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Cos^-1 1/x

-Sin^-1 X

1/sin-1x

Sin^-1 1/x

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

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

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

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