Скачать или смотреть Class 9th Math New Book Exercise 4.1|| Question No 2,3,4

Here is a description / summary of the work for Mathematics Class 9 – New Book, Chapter 4 → Exercise 4.1, specifically for Questions 2, 3, 4 (based on the Punjab/SNC curriculum).


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Question 2

In Question 2 you are asked to express given equations in the standard form and identify the values of , , and . For example, one version would be:

x - \frac{y}{5} - 10 = 0

The question will have several such equations (you need to convert them and give the values of ).

Key skills:

Recognise the equation and rearrange to the form .

Identify which numbers correspond to , and .

Be comfortable with fractional coefficients and negative constants.



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Question 3

Question 3 asks you about geometric representations of certain linear equations (for example, of the form in one variable or in two variables). For instance:

For an equation like , you ask: (i) as an equation in one variable, (ii) as an equation in two variables (if applicable).
Essentially you have to describe what the graph of that equation looks like:

If it’s one-variable (e.g., or ), you identify the line drawn in the coordinate plane (parallel to one axis).

If it’s in two variables, you describe the line in the coordinate plane represented by that equation.


Key skills:

Understand how equations like or look graphically (vertical/horizontal lines).

Know that an equation in two variables represents a straight line in the plane.

Be able to state in words what the geometric representation is for given forms of equations.



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Question 4

Question 4 involves factorisation and algebraic manipulation (in the “new book” version for the Punjab Text Book Board) for the same exercise. You will see expressions to be factorised, or written in different forms, and you need to simplify or factor them accordingly. For example, you might be asked to factor an algebraic expression or manipulate it for a given condition. From the video references it is shown that Question 4 has parts (i), (ii), (iii), etc.

Key skills:

Recognise algebraic expressions and how to factorise them (common factor, grouping, difference of squares, etc.).

Be comfortable manipulating algebraic terms: expansion, simplification, factorisation.

Apply the factorisation in the context of the exercise (so you might see something like “factorise this expression” or “express in simplified form”).



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Summary / Tips

Go step by step: for Q2 first rearrange the equation, then compare with .

For Q3, draw a quick sketch (or at least visualise) how the line looks: vertical/horizontal or slanted.

For Q4, make sure you know your basic factorisation techniques, then apply accordingly.

Make sure you keep signs (positive/negative) correct and handle fractions carefully.

Write clearly the values of for Q2 and explain what the graph looks like for Q3.



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If you like, I can provide full worked-solutions (step-by-step) for Questions 2, 3 & 4 of Exercise 4.1 (for your curriculum) so you can check your answers. Would you like me to do that?