Class Nine - Prottoy Math

Mathematics is not a difficult subject at all. Math taught properly with examples will be effective and easy to understand. The Math section of Class Nine provides chapter-based live tests of math’s books mainly keeping that aspect in mind. Each question is reviewed multiple times so the answers are almost accurate. Explanations have been added to support answers to questions.

If you catch a mistake in a math question, you can correct the mistake and provide self-explanation or feedback to the question yourself.

Let’s take a look at the key features of Class Nine Mathematics section –

Opportunity to prepare chapter wise in light of syllabus.
Solutions to almost every question with explanation.
Opportunity to prepare through Live Exams.
Opportunities for time management and competency verification by participating in exams.
You can also correct mistakes and provide self-explanations or feedback on self-questions by contacting us.
In case of any mistake, you can also inform the authorities.

All in all, Prottoy Maths Academic can be your best friend for school competitions and competitive exams.

Sets in daily life
Sequence and Series
Concept and Application of Logarithm
Polynomial Expression in Nature and Technology
System of Equations in Real World Problems
Trigonometry in Measurement
Trigonometry for Angular Distance
Measuring Regular and composite solids
Measures of Dispersion

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Functions

Test yourself in Functions in Math Questions! You have only 10 minutes to complete the test and if you do not answer any question within the allotted time, it will be counted as incorrect. You can skip questions by clicking "NEXT" button and go back to previous questions by "PREVIOUS" button. You need to get minimum 50% marks to pass the quiz. Click on the "START" button to participate in the quiz.

1 / 30

Which of the following is the inverse function of f (x) = 3x - 6?

(y - 3)/6

3x - 6

(y - 6)/3

(3y - 6)/2

2 / 30

If f(x) = x² - 4x + 3, then value of f(- 1) = ?

6

0

-8

-1

3 / 30

f(x) = π is -

An Identical function

A constant function

4 / 30

If x is an independent variable and y is a dependent variable. Then the function denoted by -

y = f(x)

f(x) = f(y)

y = f^-1(x)

x = -f(y)

5 / 30

If each element in the domain of a function has a distinct image in the co-domain, the function is said to be -

Onto Function

Constant Function

One – One Function

Identical Function

6 / 30

A function f: R → R is defined is defined as y²= x² - 16. Find the range of the function f.

(−∞, ∞)

[0, ∞)

[-1, 1]

(1, ∞)

7 / 30

Find the domain of the real-valued function: 1/ (x - 2)

R

R – {2}

R – {-2}

R+

8 / 30

A function f : R → R given by f(x) = 7x + 5 is -

Onto Function

Identical Function

One-One Function

Constant Function

9 / 30

The Range of trigonometric function sine is -

[-1, 1]

(0, ∞)

(−∞, ∞)

(1, ∞)

10 / 30

sinx is –

An Odd Function

An Even Function

11 / 30

One to one function is also called -

Surjective Functions

Inverse Functions

Injective Functions

Polynomial functions

12 / 30

In a function, f(x), x represents -

Both input and output

Output

Input

None of these

13 / 30

Determine the range of the real function: F(x) = | x |

[0, ∞)

[0, ∞]

(0, ∞)

[-1, 1]

14 / 30

Determine the range of the function y = Log₂x.

(-∞, ∞)

(0, ∞)

[-1, 1]

[0, ∞]

15 / 30

The domain of trigonometric function sine is -

(0, ∞)

(1, ∞)

(−∞, ∞)

[-1, 1]

16 / 30

Is the following relation a function?
{(-2,3), (1, -5), (2, 3), (4, -1), (-1, -3), (-2, 4)}

No

Yes

17 / 30

Find the domain of the relation: S = {(2, 1), (2, 2), (3, 2), (4, 5)}

{2, 3, 4,5}

{2, 3, 4}

{1, 2, 3, 5}

{1, 2, 5}

18 / 30

A function is called an onto function if each element in the co-domain has at least one pre–image in the domain. Is it True?

Yes

No

19 / 30

If R is a relation from the set B to C, then which is true?

R ⊆ A × B

A ∈ A × B

R ≈ A × B

R ⊇ A × B

20 / 30

What is the domain of the function y = 2^x.

[-1, 1]

[0, ∞]

(-∞, ∞)

(0, ∞)

21 / 30

f(x) = x² is –

Even Function

Odd function

22 / 30

Onto function is also called -

Injective Functions

Polynomial functions

Inverse Functions

Surjective Functions

23 / 30

R = {(x, y): x ∈ A, y ∈ A and y = x + 1}, where A = {0, 1, 2, 3}. Find Range of R.

{0, 1, 3}

{1, 2, 3}

{0, 1, 2}

{0, 1, 2, 3}

24 / 30

The domain of trigonometric function cosine is -

(0, ∞)

(1, ∞)

[-1, 1]

(−∞, ∞)

25 / 30

Trigonometric functions are also known as -

Injective Functions

Circular Functions

Surjective Functions

Inverse Functions

26 / 30

The range of trigonometric function tangent is -

R - nπ

R - (2n + 1)π/2

(−∞, ∞)

(0, ∞)

27 / 30

A domain of the function is the -

Set of both input and output

Set of outputs

None of these

Set of inputs

28 / 30

The range of inverse trigonometric function sin^-1x is -

(0, ∞)

[-1, +1]

[0, π]

[-π/2, π/2]

29 / 30

A function is always a relation but vice versa is not true.

Yes

No

30 / 30

Every function has -

Both domain and codomain

Codomain only

Domain only

Both domain and range

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