Mathematics Practice Tests 5

Created by Ali Durrani

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Math Practice Test 5

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1 / 100

Category: Math Ch 4 Class 12

The two intercepts form of the equation of the straight line is

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

????? + ????? = p

2 / 100

Category: Math Ch 9

One rotation in anti-clock wise direction is equal to:

180°

270°

360°

90°

3 / 100

Category: Math Ch 1 Class 12

The domain and range of identity function , ?: ? → ? is

?

+iv real numbers

–iv real numbers

integers

4 / 100

Category: Math Ch 4 Class 12

Let ?(?? , ??) not lying on the line ?: ?? + ?? + ? = ? then point P lies above if

?1? + ?1? + ?1 = 0

?1? + ?1? + ?1 ≠ 0

?1? + ?1? + ?1 < 0

?1? + ?1? + ?1 > 0

5 / 100

Category: Math

A compound proposition which is always neither true nor false is called:

Tautology

contradiction

absurdity

contingency

6 / 100

Category: Math Ch 1 Class 12

If a graph express a function , then a vertical line must cut the graph at

One point only

Two points

More than one point

No point

7 / 100

Category: Math Ch 7

a

b

c

d

8 / 100

Category: Math Ch 4 Class 12

Line passes through the point of intersection of two line ?? and ?? is

?1?1 = ?2?2

?1 + ??2 = 0

?1 + ??2 = 1

None

9 / 100

Category: Math Ch 2 Class 12

a

b

c

d

10 / 100

Category: Math Ch 4

The product of all four fourth roots of unity is:

Unity

0

-1

None

11 / 100

Category: Math Ch 3

. The multiplicative inverse of a matrix exist only if it is:

Singular

non singular

null matrix

any matrix of order ? ×n

12 / 100

Category: Math Ch 7

How many signals can be given by 5 flags of different colors , using 3 at a time

120

60

24

15

13 / 100

Category: Math Ch 2 Class 12

a

b

c

d

14 / 100

Category: Math Ch 3 Class 12

a

b

c

d

15 / 100

Category: Math Ch 3

Which of the following Sets is a field.

R

Q

C

all of these

16 / 100

Category: Math Ch 7 Class 12

a

b

c

d

17 / 100

Category: Math Ch 4

5. The equation in which variable occurs in exponent , called:

Exponential function

Quadratic equation

Reciprocal equation

Exponential equation

18 / 100

Category: Math Ch 6

3. A sequence is function whose domain is

?

19 / 100

Category: Math

Which of the following is not a binary operation :

+

×

√

–

20 / 100

Category: Math Ch 4

Degree of quadratic equation is:

0

1

2

3

21 / 100

Category: Math Ch 3 Class 12

a

b

c

d

22 / 100

Category: Math Ch 2 Class 12

a

b

c

d

23 / 100

Category: Math Ch 1

Golden rule of fraction is that for ? ≠ ?, ?/? =

??/??

??/?

??/b

24 / 100

Category: Math Ch 6 Class 12

a

b

c

d

25 / 100

Category: Math Ch 6 Class 12

The angle inscribed in semi-circle is:

?/2

?/3

?/4

None of these

26 / 100

Category: Math Ch 12

7. Which can be reduced to Pythagoras theorem,

Law of sine

law of cosine

law of tangents

Half angle formulas

27 / 100

Category: Math Ch 3

9. If a matrix A has same number of rows and columns then A is called:

Row vector

Column vector

square matrix

Rectangular matrix

28 / 100

Category: Math Ch 9

Two rays with a common starting point form:

Triangle

Angle

Radian

Minute

29 / 100

Category: Math Ch 3 Class 12

a

b

c

d

30 / 100

Category: Math Ch 7

The number of diagonals in 10-sided figure is

10

10?2

10?2 − 10

45

31 / 100

Category: Math Ch 4 Class 12

The point P in the plane that corresponds to the ordered pair (?, ?) is called:

????ℎ ?? (?, ?)

mid-point of ?, ?

???????? ?? ?, ?

ordinate of ?, y

32 / 100

Category: Math Ch 2

Every function is:

Relation

inverse function

one to one

none of these

33 / 100

Category: Math Ch 12

a

b

c

d

34 / 100

Category: Math Ch 6

If sum of series is defined then it is called:

Convergent series

Divergent series

finite series

Geometric series

35 / 100

Category: Math Ch 7 Class 12

a

b

c

d

36 / 100

Category: Math Ch 2

Squaring a number is a:

Unary operation

binary operation

relation

Function

37 / 100

Category: Math

The graph of linear function is :

Circle

straight line

parabola

triangle

38 / 100

Category: Math Ch 5 Class 12

The graph of a linear equation of the form ?? + ?? = ? is a line which divides the whole
plane into ______ disjoints parts.

Two

four

more than four

infinitely many

39 / 100

Category: Math Ch 4 Class 12

If all the sides of four sided polygon are equal but the four angles are not equal to ??° each
then it is a

Kite

rhombus

||gram

trapezoid

40 / 100

Category: Math Ch 4

The sum of all four fourth roots of unity is:

Unity

0

-1

None

41 / 100

Category: Math Ch 6

The last term of an infinite sequence is called :

??ℎ term

??

last term

does not exist

42 / 100

Category: Math Ch 3

. If a matrix of order ? × ? then the matrix of order ? × ? is :

Transpose of A

Inverse of A

Main diagonal of A

Adjoint of A

43 / 100

Category: Math Ch 5

A fraction ?(?)/?(?), ?(?) ≠ ? is called proper fraction if :

Degree of ?(?) < Degree of ?(?)

Degree of ?(?) = Degree of ?(?)

Degree of ?(?) > Degree of ?(?)

Degree of ?(?) ≥ Degree of ?(?)

44 / 100

Category: Math Ch 3

54. Transpose of a row matrix is:

Diagonal matrix

zero matrix

column matrix

scalar matrix

45 / 100

Category: Math Ch 14

An equation containing at least one trigonometric function is called:

Trigonometric function

Trigonometric equation

Trigonometric value

None

46 / 100

Category: Math Ch 5 Class 12

a

b

c

d

47 / 100

Category: Math Ch 12

a

b

c

d

48 / 100

Category: Math Ch 2 Class 12

a

b

c

d

49 / 100

Category: Math Ch 6

No term of a ?. ?., is:

0

1

negative

imaginary number<em>

50 / 100

Category: Math Ch 6

. An infinite geometric series is divergent if

|?| < 1

|?| ≠ 1

? = 0

|?| > 1

51 / 100

Category: Math Ch 3

If a matrix A has only one row then it is called:

Row vector

Column vector

square matrix

Rectangle matrix

52 / 100

Category: Math Ch 1 Class 12

a

b

c

d

53 / 100

Category: Math Ch 5 Class 12

A function which is to be maximized or minimized is called______ function

Subjective

objective

qualitative

quantitative

54 / 100

Category: Math Ch 6

An infinite geometric series is convergent if

|?| > 1

|?| = 1

|?| ≥ 1

|?| < 1

55 / 100

Category: Math Ch 14

a

b

c

d

56 / 100

Category: Math Ch 5 Class 12

The point where two boundary lines of a shaded region intersect is called _____ point.

Boundary

corner

stationary

feasible

57 / 100

Category: Math Ch 6

a

b

c

d

58 / 100

Category: Math Ch 7 Class 12

a

b

c

d

59 / 100

Category: Math Ch 7

A coin is tossed 5 times , then ?(?) is equal to:

32

25

10

20

60 / 100

Category: Math Ch 3

The horizontal lines of numbers in a matrix are called:

Columns

Rows

Column matrix

Row matrix

61 / 100

Category: Math Ch 7 Class 12

a

b

c

d

62 / 100

Category: Math Ch 7 Class 12

a

b

c

d

63 / 100

Category: Math Ch 5 Class 12

Solution space consisting of all feasible solutions of system of linear in inequalities is called

Feasible solution

Optimal solution

Feasible region

General solution

64 / 100

Category: Math Ch 3

The main diagonal elements of a skew symmetric matrix must be:

1

0

any non-zero number

any complex number

65 / 100

Category: Math Ch 3

10. If a matrix A has different number of rows and columns then A is called:

Row vector

Column vector

square matrix

Rectangular matrix

66 / 100

Category: Math Ch 7 Class 12

The lines joining the mid-points of any two sides of a triangle is always _____to the third side.

Equal

Parallel

perpendicular

base

67 / 100

Category: Math Ch 4

10. Product of cube roots of -1 is:

0

-1

1

None

68 / 100

Category: Math Ch 5

An open sentence formed by using sign of “ = ” is called a/an

Equation

Formula

Rational fraction

Theorem

69 / 100

Category: Math Ch 1 Class 12

a

b

c

d

70 / 100

Category: Math Ch 4

The sum of all four fourth roots of unity is:

Unity

0

-1

None

71 / 100

Category: Math Ch 13

a

b

c

d

72 / 100

Category: Math Ch 4

If product of all cube roots of unity is equal to ?^? + ? , then ? is equal to:

−1

0

±?

1

73 / 100

Category: Math Ch 6 Class 12

In the cases of ellipse it is always true that:

?2 > ?2

?2 < ?2

?2 = ?2

? < 0, ? < 0

74 / 100

Category: Math Ch 1 Class 12

The quantity which is used as a variable as well as constant is called

Parameter

Constant

Real Number

None of these

75 / 100

Category: Math Ch 5

The quotient of two polynomials ?(?)/?(?), ?(?) ≠ ? is called :

Rational fraction

Irrational fraction

Partial fraction

Proper fraction

76 / 100

Category: Math Ch 4 Class 12

A four sided polygon (quadrilateral) having two parallel and non-parallel sides is called

Square

rhombus

trapezium

||gram

77 / 100

Category: Math Ch 2 Class 12

a

b

c

d

78 / 100

Category: Math Ch 12

To solve an oblique triangles when measure of three sides are given , we can use:

Hero’s formula

Law of cosine

Law of sine

Law of tangents

79 / 100

Category: Math Ch 13

a

b

c

d

80 / 100

Category: Math Ch 3

a

b

c

d

81 / 100

Category: Math Ch 1 Class 12

The inverse of a function exists only if it is

an into function

an onto function

(1-1) and into function

None of these

82 / 100

Category: Math Ch 1 Class 12

The term “Function” was recognized by______ to describe the dependence of one quantity
to another.

Lebnitz

Euler

Newton

Lagrange

83 / 100

Category: Math Ch 8

a

b

c

d

84 / 100

Category: Math Ch 12

A “Triangle” has :

Two elements

3 elements

4 elements

6 elements

85 / 100

Category: Math Ch 3 Class 12

To determine the area under the curve by the use of integration , the idea was given by

Newton

Archimedes

Leibnitz

Taylor

86 / 100

Category: Math Ch 3

Inverse of a matrix exists if it is:

Singular

Null

Rectangular

Non-singular

87 / 100

Category: Math Ch 2 Class 12

The notation ??(?) or ?? is used by

Leibnitz

Newton

Lagrange

Cauchy

88 / 100

Category: Math Ch 5 Class 12

The number of variables in ?? + ?? ≤ ? are

1

2

3

4

89 / 100

Category: Math Ch 7 Class 12

a

b

c

d

90 / 100

Category: Math Ch 12

a

b

c

d

91 / 100

Category: Math Ch 4

The equation in which variable occurs in exponent , called:

Exponential function

Quadratic equation

Reciprocal equation

Exponential equation

92 / 100

Category: Math Ch 9

Straight line angle is equal to

1/2 ????????

? radian

180°

All of these

93 / 100

Category: Math Ch 3

a

b

c

d

94 / 100

Category: Math Ch 5 Class 12

For feasible region:

? ≥ 0, ? ≥ 0

? ≥ 0, ? ≤ 0

? ≤ 0, ? ≥ 0

? ≤ 0, ? ≤ 0

95 / 100

Category: Math Ch 7 Class 12

Parallelogram law of vector addition to describe the combined action of two forces, was used
by

Cauchy

Aristotle

Alkhwarzmi

Leibnitz

96 / 100

Category: Math Ch 6

The sum of terms of a sequence is called:

Partial sum

Series

Finite sum

none of these

97 / 100

Category: Math Ch 14

a

b

c

d

98 / 100

Category: Math Ch 3 Class 12

The equation ? = ?? − ?? + ? represents ( ? being a parameter )

One parabola

family of parabolas

family of line

two parabolas

99 / 100

Category: Math Ch 7 Class 12

a

b

c

d

100 / 100

Category: Math Ch 5

Which is a reducible factor:

?^3 − 6?^2 + 8?

?^2 + 16?

?^2 + 5? − 6

all of these

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