Question # 1

The sum of the coefficient in the expansion of (a + x)⁵is

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32

16

8

5

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The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

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Rule of quotient of fraction

Golden rule of fraction

Rule for product of fraction

Principle for equality of fraction

If b²- 4ac is positive then the roots of the equation are

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Real

Imaginary

Positive

Negative

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

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18 cm

18.027 cm

20.7 cm

19 cm

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w¹⁵= ______

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0

1

w

w²

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An equation of the form ax + by = k is homogeneous linear equation when:

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If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

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2x - 3x + c

x²- 3x + c

(fog)′(x) =f′(g(x))g′(x) is derivative by

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Chain rule

Reciprocal rule

Power rule

Product rule

Which of the following has the same value as i113

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i

-1

-i

1

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tan 3x + c

cot 3x + c

- cot 3x + c

Number of conics is

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1

3

2

4

The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is

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1⁰

1'

1"

1 rad

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

The radius of the circle (x - 1)²+ (y + 3)²= 61 is

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8

4

64

None of these

Which of the following ordered pair is a solution of the inequality x+2y<6?

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(2,3)

(2,2)

(6,0)

(1,1)

Circle x² + y² - 2y -y = 0 and x² + y² - 8y -4 =0:

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Interesect

touch externally

touch internally

do not touch

If the roots of ax2 + b =0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0,b > 0

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56

7

8

8/7

f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

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0

1

2

4

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-8

8

8i

32

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none of these

csc(-π/2) = __________;

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0

1

-1

Undefined

Which of the following us a scalar

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displacement

velocity

acceleration

density

Two sets A and B are said to be disjoint if

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The positive real number which is the measure of the length of a vector is called the

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Unit vector

Modulus

Inverse

None of these

The solution set of the equation 1 + Cos x = 0 is __________

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none of these

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

Sum of all the four forth roots of unity is

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1

-1

i

0

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

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domain

range

relation

function

If distance of (a,b) from y-axis is 2 then

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a = 2

b = 2

a = b

a = 4

The equation of the circle with centre (h, k) and radius r is

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(x+ h)²+ (y+ k)²= r²

(x+ h)²+ (y - k)²= r²

(x - h)²+ (y+ k)²= r²

(x - h)²+ (y - k)²= r²

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The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

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4

64

8

All values of k

u,v,wand u x (v.w) are

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Equal

Parallel

Additive immense of each other

Meaningless

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The law of tangents is ______

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The standard form of the quadratic function f(x) = -x² +4x+2, is

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(x-2)²+6

-(x-2)² + 6

(x-3)²+5

(x+4)²-7

If z = (x,y) , then z ̅ =

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(-x,y)

(x,-y)

(-x, -y)

None of these

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t. to addition

If f(x) = x²- x then f(-2) is

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4

6

2

0

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A line joining two distinct points on a parabola is called

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Axis

Directrix

Chord

Tangent

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

If n is not natural number, then the expansion (1 + x)ⁿis valid for

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If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is

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0

2

1

5

There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

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A sequence is a function whose domain is

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N

Subset of N

R

None of these

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

The equation of the line perpendicular to x- axis and passing through (-5,3) is

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y -3 =0

x+ 3 =0

y- 3 =∞

x +5 =0

(1,0) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 3

x - 2y < -5

The angle between lines xy =0 is

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45°

60°

90°

180°

If a, b, c are in AP., a, b, c are in G.P. then A, m²b, c are in

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A.P.

G.P.

H.P.

None of these

a ______quantity is one that possesses both magnitude and direction.

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Scalar

Vector

Segment

None of these

General solution of tan 5θ= cot 2θis

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The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

None of these

i³ =

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-1

i

-i

1

If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to

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12

9

6

3

The first three terms in the expansion of (1 + x)^-1are

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

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Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

cos(3π/2 +θ) = _____;

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sinθ

cosθ

-sinθ

-cosθ

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n(A)

n(B)

0

1

If 4 sin²θ=1, then values ofθare

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The expansion of (1 + 2x)^-2is valed if

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

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2

1

5

0

If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is

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For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

The solution set of the equation 4 cos²x - 3 + 0 is

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none of these

Z is a group under

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Subtraction

Multiplication

Addition

None of these

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

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Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

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Circle

Hyperbola

Ellipse

Pair of straight lines

The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to

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-2

2

3

-1

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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A point (x,y) which satisfy a linear inequality in two variables form its

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Solution

Domain

Range

None

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Natural numbers

Whole numbers

Integers

Rational numbers

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

(n + 2) (n + 1) n= ______

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{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

The distance between the points (0,0) and (x,y) is

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x²+ y²

x

y

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of

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Square

Parallelogram

Rectangle

Trapezium