Showing posts with label Hamid learning zone. Show all posts
Showing posts with label Hamid learning zone. Show all posts

Thursday, 23 December 2021

money and credit class 10th

Welcome to Hamid learning zone
Study Material and Notes of Ch 3

Money and Credit Class 10th


Economics

Topics in the Chapter
 • Overview 
• Money as a medium of exchange
• Modern form of money
 • Loon activities of bank 
• Two difforont cracit situation
 • Terms of credit 
• Formal sector credit in indlic

• Solf-holp groups for the poor

Overview

Money as a Medium of Exchange

Money acts as an intermediate in the exchange process, it is called a medium of exchange. A person holding money can easily exchange it for any commodity or service that he or she might want.

Modern form of Money

In the early ages, Indians used grains and cattle as money. Thereafter came the use of metallic coins – gold, silver, copper coins – a phase which continued well into the last century. Now, the modern forms of money include currency – paper notes and coins. The modern forms of money – currency and deposits – are closely linked to the workings of the modern banking system.

Currency

In India, the Reserve Bank of India issues currency notes on behalf of the central government. No other individual or organisation is allowed to issue currency. The rupee is widely accepted as a medium of exchange in India.

Deposits in Banks


The other form in which people hold money is as deposits with banks. People deposit their extra cash with the banks by opening a bank account in their name. Banks accept the deposits and also pay an amount as interest on the deposits.

The deposits in the bank accounts can be withdrawn on demand, these deposits are called demand deposits. The payments are made by cheques instead of cash.

A cheque is a paper instructing the bank to pay a specific amount from the person’s account to the person in whose name the cheque has been issued.

Loan Activities of Banks

Banks keep only a small  proportion of their deposits as cash with themselves. These days banks in India hold about 15% of their deposits as cash. This is kept as a provision to pay the depositors who might come to withdraw money from the bank on any given day. Banks use the major portion of the deposits to extend loans. There is a huge demand for loans for various economic activities. Banks charge a higher interest rate on loans than what they offer on deposits. The difference between what is charged from borrowers and what is paid to depositors is their main source of income for banks.

Two Different Credit Situations

Credit (loan) refers to an agreement in which the lender supplies the borrower with money, goods or services in return for the promise of future payment.

Here are 2 examples which help you to understand how credit works.

Festive Season:
In this case, Salim obtains credit to meet the working capital needs of production. The credit helps him to meet the ongoing expenses of production, complete production on time, and thereby increase his earnings. In this situation, credit helps to increase earnings and therefore the person is better off than before.

Swapna’s Problem:
In Swapna’s case, the failure of the crop made loan repayment impossible. She had to sell part of the land to repay the loan. Credit, instead of helping Swapna improve her earnings, left her worse off. This is an example of debt-trap. Credit, in this case, pushes the borrower into a situation from which recovery is very painful. Whether credit would be useful or not, depends on the risks in the situation and whether there is some support, in case of loss.

Terms of Credit

Every loan agreement specifies an interest rate which the borrower must pay to the lender along with the repayment of the principal. In addition, lenders also demand collateral (security) against loans.

Collateral (Security) is an asset that the borrower owns (such as land, building, vehicle, livestocks, deposits with banks) and uses this as a guarantee to a lender until the loan is repaid. If the borrower fails to repay the loan, the lender has the right to sell the asset or collateral to obtain payment.

Interest rate, collateral and documentation requirement and the mode of repayment, together is called the terms of credit. It may vary depending on the nature of the lender and the borrower.

Formal Sector Credit in India
Cheap and affordable credit is crucial for the country’s development. The various types of loans can be grouped as:

Formal sector loans:

These are the loans from banks and cooperatives. The Reserve Bank of India supervises the functioning of formal sources of loans. Banks have to submit information to the RBI on how much they are lending, to whom, at what interest rate, etc.

Informal sector loans:

These are the loans from moneylenders, traders, employers, relatives and friends, etc. There is no organisation which supervises the credit activities of lenders in the informal sector. There is no one to stop them from using unfair means to get their money back.

Formal and Informal Credit

The formal sector meets only about half of the total credit needs of rural people. The remaining credit needs are met from informal sources. It is important that the formal credit is distributed more equally so that the poor can benefit from the cheaper loans.

It is necessary that banks and cooperatives increase their lending, particularly in rural areas, so that the dependence on informal sources of credit reduces.
While the formal sector loans need to expand, it is also necessary that everyone receives these loans.

Self Help Groups for the Poor

Poor households are still dependent on informal sources of credit because of the following reasons:

Banks are not present everywhere in rural India.
Even if banks are present, getting a loan from a bank is much more difficult as it requires proper documents and collateral.
To overcome these problems, people created Self Help Groups (SHGs). SHGs are small groups of poor people which promote small savings among their members. A typical SHG has 15-20 members, usually belonging to one neighbourhood, who meet and save regularly.

Advantages of Self Help Group (SHG)
It helps borrowers to overcome the problem of lack of collateral.
People can get timely loans for a variety of purposes and at a reasonable interest rate.
SHGs are the building blocks of organisation of the rural poor.
It helps women to become financially self-reliant.
The regular meetings of the group provide a platform to discuss and act on a variety of social issues such as health, nutrition, domestic violence, etc.
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We hope “CBSE Notes Class 10 Economics Chapter 3 – Money and Credit” helped you in your studies. Keep Learning and stay tuned for more updates on CBSE and NCERT. 

Sunday, 19 December 2021

Quadratic Equation

Welcome to Hamid learning zone we are going to discuss Quadratic Equation
All we know that what is quadratic polynomial.
Yes lets study points by points.

Quadratic polynomial:- a polynomial having degree 2. Std.form:- ax²+bx+c        p(x)= ax²+bx+c

Quadratic Equation:- Equation of quadratic polynomial  i.e.
ax²+bx+c =0is a quadratic polynomial.
Solving QE by Factorisation
Roots of a Quadratic equation
The values of x for which a quadratic equation is satisfied are called the roots of the quadratic equation.

If α is a root of the quadratic equation ax2+bx+c=0, then aα2+bα+c=0.

A quadratic equation can have two distinct real roots, two equal roots or real roots may not exist.

Graphically, the roots of a quadratic equation are the points where the graph of the quadratic polynomial cuts the x-axis.

Consider the graph of a quadratic equation x2−4



Graph of a Quadratic Equation
In the above figure, -2 and 2 are the roots of the quadratic equation x2−4=0
Note:

If the graph of the quadratic polynomial cuts the x-axis at two distinct points, then it has real and distinct roots.
If the graph of the quadratic polynomial touches the x-axis, then it has real and equal roots.
If the graph of the quadratic polynomial does not cut or touch the x-axis then it does not have any real roots.
Solving a Quadratic Equation by Factorization method
Consider a quadratic equation 2x2−5x+3=0
⇒2x2−2x−3x+3=0
This step is splitting the middle term
We split the middle term by finding two numbers (-2 and -3) such that their sum is equal to the coefficient of x and their product is equal to the product of the coefficient of x2 and the constant.
(-2) + (-3) = (-5)
And (-2) × (-3) = 6
2x2−2x−3x+3=0
2x(x−1)−3(x−1)=0
(x−1)(2x−3)=0
In this step, we have expressed the quadratic polynomial as a product of its factors.
Thus, x = 1 and x =3/2 are the roots of the given quadratic equation.
This method of solving a quadratic equation is called the factorisation method.

For More Information On Solving a Quadratic Equation by Factorization method, Watch this video

Solving QE by Completing the Square
Solving a Quadratic Equation by Completion of squares method
Ye topic removed hai phir bhi jise dekhna h dekh lo
In the method of completing the squares, the quadratic equation is expressed in the form (x±k)2=p2.

Consider the quadratic equation 2x2−8x=10
(i) Express the quadratic equation in standard form.
2x2−8x−10=0

(ii) Divide the equation by the coefficient of x2 to make the coefficient of x2 equal to 1.
x2−4x−5=0

(iii) Add the square of half of the coefficient of x to both sides of the equation to get an expression of the form x2±2kx+k2.
(x2−4x+4)−5=0+4

(iv) Isolate the above expression, (x±k)2 on the LHS to obtain an equation of the form (x±k)2=p2
(x−2)2=9

(v) Take the positive and negative square roots.
x−2=±3

x=−1 or x=5

To know more about Solving Quadratic Equations by Completing the Square, visit here.

Solving QE Using Quadratic Formula
Quadratic Formula
Quadratic Formula is used to directly obtain the roots of a quadratic equation from the standard form of the equation.

For the quadratic equation ax2+bx+c=0,

x= [-b± √(b2-4ac)]/2a

By substituting the values of a,b and c, we can directly get the roots of the equation.

To know more about Quadratic Formula, visit here.

Discriminant
For a quadratic equation of the form ax2+bx+c=0, the expression b2−4ac is called the discriminant, (denoted by D), of the quadratic equation.
The discriminant determines the nature of roots of the quadratic equation based on the coefficients of the quadratic equation.

For More Information On Discriminant, Watch The Below Video.

Solving using Quadratic Formula when D>0

Solve 2x2−7x+3=0 using the quadratic formula.
(i) Identify the coefficients of the quadratic equation. a = 2,b = -7,c = 3
(ii) Calculate the discriminant, b2−4ac
D=(−7)2−4×2×3= 49-24 = 25
D> 0, therefore, the roots are distinct.
(iii) Substitute the coefficients in the quadratic formula to find the roots

x= [-(-7)± √((-7)2-4(2)(3))]/2(2)

x=(7 ±5)/4

x=3 and x= 1/2 are the roots.

Nature of Roots

Based on the value of the discriminant, D=b2−4ac, the roots of a quadratic equation can be of three types.

Case 1: If D>0, the equation has two distinct real roots.

Case 2: If D=0, the equation has two equal real roots.

Case 3: If D<0, the equation has no real roots.

For More Information On Nature Of Roots, Watch The Below Videos.

Be More Curious
Graphical Representation of a Quadratic Equation
The graph of a quadratic polynomial is a parabola. The roots of a quadratic equation are the points where the parabola cuts the x-axis i.e. the points where the value of the quadratic polynomial is zero.

Now, the graph of x2+5x+6=0 is:

In the above figure, -2 and -3 are the roots of the quadratic equation
x2+5x+6=0.

For a quadratic polynomial ax2+bx+c,

If a>0, the parabola opens upwards.
If a<0, the parabola opens downwards.
If a = 0, the polynomial will become a first-degree polynomial and its graph is linear.

The discriminant, D=b2−4ac
Nature of graph for different values of D.
If D>0, the parabola cuts the x-axis at exactly two distinct points. The roots are distinct. This case is shown in the above figure in a, where the quadratic polynomial cuts the x-axis at two distinct points.

If D=0, the parabola just touches the x-axis at one point and the rest of the parabola lies above or below the x-axis. In this case, the roots are equal.
This case is shown in the above figure in b, where the quadratic polynomial touches the x-axis at only one point.

If D<0, the parabola lies entirely above or below the x-axis and there is no point of contact with the x-axis. In this case, there are no real roots.
This case is shown in the above figure in c, where the quadratic polynomial neither cuts nor touches the x-axis.

Formation of a quadratic equation from its roots
To find out the standard form of a quadratic equation when the roots are given:
Let α and β be the roots of the quadratic equation ax2+bx+c=0. Then,
(x−α)(x−β)=0
On expanding, we get,
x2−(α+β)x+αβ=0, which is the standard form of the quadratic equation. Here, a=1,b=−(α+β) and c=αβ.

Sum and Product of Roots of a Quadratic equation
Let α and β be the roots of the quadratic equation ax2+bx+c=0. Then,
Sum of roots =α+β=-b/a
Product of roots =αβ= c/a

 

For More Information On Sum and Product of Roots of a Quadratic equation, Watch The Below Video

Practice Questions on Quadratic Equations Class 10
1. Check whether the following are quadratic equations:
(i) (x – 2)2 + 1 = 2x – 3
(ii) x(x + 1) + 8 = (x + 2) (x – 2)
(iii) x (2x + 3) = x 2 + 1
(iv) (x + 2)3 = x 3 – 4
2. Find two numbers whose sum is 27 and product is 182.
3. Find the roots of 4x2 + 3x + 5 = 0 by the method of completing the square.
4. Find the roots of the quadratic equation 3x2 – 5x + 2 = 0, if they exist, using the quadratic formula.
5. Find the values of k for which the quadratic equation kx(x – 2) + 6 = 0 has two equal roots.

To know more about Sum and Product of Roots of a Quadratic equation, visit Hamid learning zone on you tube

 

Friday, 17 December 2021

Term 2 strategy

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