Question # 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

The conic is a parabola if

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e <1

e > 1

e = 1

e = 0

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

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 equation of the circle with center origin and radius 2√2 is

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x² + y² = 2√2

x² + y² = 8

x² - y² = 2√2

x² - y² = 8

What is the conjugate of -7 -2i ?

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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

Sin^-1 x =?

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π/2- Sin^-1 x

π/2 -Cos^-1 x

-Sin^-1 x

-Cos^-1 x

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

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

The set of complex numbers forms a group under the binary operation of

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0

±1

1

{0,1}

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 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

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

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

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Harmonic series

Arithmetic series

Harmonic sequence

Geometric sequence

If 4 - x > 5, then

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x > 1

x > -1

x < 1

x < -1

The set {1, -1, i, -i}, form a group under

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addition

multiplication

subtraction

None

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

AreCot √3 =?

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π/2

π

2π

π/6

(x+2)² = x² +4x +4 is

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1

2

3

4

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

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n x m

m x n

km x n

m x kn

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

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

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

x² +2x -25 = 0 is

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1

2

3

4

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 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

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

The nth term of A,P:1,5,9,15...........is given by

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4n - 3

4n + 1

3n -4

4n +3

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

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x < x² < x²

x < x³ < x²

x² < x³ < x

x²< x < x³

F(x) = xx decreases in the interval

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(0,e)

(0.1)

(-∞.0)

None

If |A| ≠ 0 then A is called

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1

-1

±1

0

∫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 x < y, 2x = A and 2y = B then

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A =B

A < B

A< X

B < y

If Cⁿ_r, Pⁿ_r = 24:1 then r = ?

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1

2

3

4

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

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3⁵

5³

C⁵₃

P⁵₃

The number of diagonals of a six sided figure are

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9

6

12

3

ωⁿ = ?, when n = 3k

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0

ω

1

1 / ω

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

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(3,0)

(4,1)

(1,3)

None

The magnitude of a vector can never be

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Zero

Negative

Positive

Absolute

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

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√3 I

√7

-2-1

√5

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

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√3 I

√7

-2-1

√5

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

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

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

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

If f(x) = x³- 2x² +4x-1, then f(-2) =?

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0

-25

5

45

Complex roots of real quadratic equation occur in

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Nilpotent matrix

Singular matrix

Non singular matrix

Diagonal matrix

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

If sinθ = 1 then θ =

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2nπ +π/2

2nπ

2π +n

Nπ +π/2

The set { {a,b} } is

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{X/X∈ A∧x ∈ U}

{X/X∉ A∧x ∈ U}

{X/X∈ A and x ∉ U}

A-U

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

r + 3 > 5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 + 4

None

d/dx (3y⁴) =

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12y³ dy/dx

8y³

8y³ dy/dx

12y³

6 is

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A prime integer

An irrational number

A rational number

A odd integer

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

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7π/6

5π/6

π/6

All

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

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

Cot 360° =______.

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Undefined

0.707

-0.5

0

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 set (Z, +) forms a group

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Function on B

Range

Domain

A into B

The average of first 100 integers is=

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50 1/2

25 1/4

100

5050

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

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

Tan^-1 1/x =______

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Sin x

Sec^-1 X

Cot^-1 X

Sin Ix/cos- Ix

Domain of Y = csc x is

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R - nπ, n ε I

R

R -nπ/2,nεI

All negative Integers

Which of the following is not defined?

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Arcsin 1/9

ArcCos (-4/3)

Arctan 11/12

Arccot (-4)

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

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

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1

2

3

4

8 > t then

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(s -t) ²>(t -8)²

(s -t) ²<(t -8)²

(s -t) ²=(t -8)²

None