Ncert Solutions Class 10 Maths Ch 3 Study Rankers Ltd,Ketch Sailboat Manufacturers 30,Wooden Model Ship Building For Beginners Sale - PDF Books

31.12.2020Author: admin

NCERT Solutions for Class 10 Maths - Free PDF Download for In this page, you will complete detailed NCERT Solutions for Class 10 of all subjects totally free. Students studying in CBSE schools need to focus on their class As CBSE conducts board examination for class 10 students, so it is very important to read all the chapter carefully. The study material by Vedantu titled Class 10 Maths Chapter 3 Exercise Solution is a wonderful resource that helps you to understand this chapter in an easy way. It not only explains the basics in a step-by-step manner but also provides a wide array of problems and solutions. Study from TopperLearning�s NCERT Solutions for CBSE Class 10 Mathematics Chapter 3 Pairs of Linear Equations in Two Variables for your board exam preparation. Learn to understand a real-life situation mathematically. The concept insights in our NCERT textbook solutions will help you represent linear equations graphically or algebraically.
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One student replies that it is 8 times the number of colours in the flag. While other says that the sum of the number colours in the flag and number of lines in the wheel of the flag is Convert the statements given by the students into linear equation of two variables.

Find the number of lines in the wheel. One car starts from A and another from B at the same time. If the cars travel in the same directions at different speeds, they meet in 10 hours. Find the speeds of the two cars. After 30 years, sum of the ages of the children will be twice the age of the father. Find the age of the father. He can row 12 km downstream and 12 km upstream in 4 hours.

Find the speed of rowing in still water and the speed of the current. Determine the coordinates of the vertices of the triangle formed by these lines and the x � axis and shade the triangular region. Also calculate the area of Ncert Solutions Class 10 Maths Ch 1 Study Rankers Short the triangle so formed. If the digits of the number differ by 3, find the number. Also determine the vertices of the triangle form by these lines and x � axis.

Nine times this number is twice the number obtained by reversing the digits. Find the number. Find the fixed charge and the charge for each extra day.

Historical Facts! History about Linear Equations with two variables. Don't miss to write the unit. Thus, the length and breadth of the rectangle are 17 units and 9 units respectively. Concept insight: Here, the length and the breadth of the rectangle will be represented by variables.

Then, the pair of equations will be written from the given conditions. Solution can be easily computed using the cross multiplication method. Concept insight: Two unknown quantities are speed in still water and the speed of the current, which can be represented by variables x and y respectively. Then using the given conditions, two linear equations can be formed.

Now, the two equations can be solved easily by the substitution method. Concept insight: In this problem it is mentioned that a girl Roohi travels to her home partly by train and partly by bus. So, we represent the speed of the train and bus by variables u and v respectively. Here, to answer this problem, remember the fact that speed is the ratio of distance and time. Using this and the given conditions, formulate pair of linear equations.

Observe that the equations obtained are not linear. So, first step will be to convert them into linear form by suitable substitution and then solve it using an appropriate algebraic method.

Let the number of rows be x and number of students in a row be y. So, in order to know the total number of students, it is must to know the number of students standing in each row and the total number of rows.

So, these two quantities are represented by variables x and y. Use the conditions given in the question to obtain a pair of equations. The pair of equations can then be solved easily by eliminating a suitable variable. Enter the OTP sent to your number Change. Resend OTP. Don't miss this! Ok Cancel. Ok Choose Chapter. Ok Choose Topic. Yes No. Choose Subjects. Choose Chapters. Let the present age of Aftab and his daughter be x and y respectively.

Here, Aftab and his daughter's present age needs to be found so, so the ages will be represented by variables x and y. The problem talks about their ages seven years ago and three years from now.

Here, the words 'seven years ago' means we have to subtract 7 from their present ages, and 'three years from now' or 'three years hence' means we have to add 3 to their present ages.

Remember in order to represent the algebraic equations graphically the solution set of equations must be taken as whole numbers only for the accuracy. Graph of the two linear equations will be represented by a straight line.

Let the cost of a bat and a ball be Rs x and Rs y respectively. Let the cost of 1 kg of apples and 1 kg grapes be Rs. The given condtions can be algebraically represented as: Three solutions of this equation can be written in a table as follows: x 50 60 70 y 60 40 20 Three solutions of this equation can be written in a table as follows: x 70 80 75 y 10 0 The graphical representation is as follows: Concept insight: cost of apples and grapes needs to be found so the cost of 1 kg apples and 1 kg grapes will be taken as the variables.

From the given conditions of collective cost of apples and grapes, a pair of linear equations in two variables will be obtained. Then, in order to represent the obtained equations graphically, take the values of variables as whole numbers only. Thus, the number of girls and boys in the class are 7 and 3 respectively. Therefore, the cost of one pencil and one pen are Rs 3 and Rs 5 respectively.

Concept insight: Read the question carefully and examine what are the unknowns. Represent the given conditions with the help of equations by taking the unknowns quantities as variables. Also carefully state the variables as whole solution is based on it. On the graph paper, mark the points accurately and neatly using a sharp pencil. Also, take at least three points satisfying the two equations in order to obtain the correct straight line of the equation.

Since joining any two points gives a straight line and if one of the points is computed incorrect will give a wrong line and taking third point will give a correct line.

The point where the two straight lines will intersect will give the values of the two variables, i. State the solution point. Since , the given pair of equation has only one solution. Thus, the pair of linear equations is consistent. Thus, the pair of linear equations is inconsistent. Concept Insight: If a pair of linear equations has one or more than one solution then they are said to be consistent and if they have no solution then they are said to be inconsistent.

So, to identify the consistency of a given pair of equations, apply the conditions involving the coefficients of the given pair of equations.

In case, two consistent linear equations are plotted, they will either intersect or overlap each other. Thus, the given pair of equations has infinite solutions. So, the ordered pair k, 5 - k , where k is a constant, will be the solution of the given pair of linear equations. Thus, the solution of the given pair of equations is 2, 2. Concept insight: If a pair of linear equations has one or more than one solutions then they are said to be consistent and if they have no solution then they are said to be inconsistent.

The graph of each equation can be plotted by taking at least three ordered pairs which are the solutions of the equations. The point where both the lines intersect will be the solution of the given pair of equations. Remember two overlapping lines intersect each other at infinitely many points.

State the solution explicitly. Let the width and length of the rectangular garden be x and y respectively. Thus, the length and width of the rectangular garden is 20 m and 16 m respectively. Concept insight: Here dimensions of the rectangular garden needs to be found. Since opposite sides of the rectangle are equal so length and breadth can be taken as variables. Applying conditions given in the problem two linear equations in the 2 variables can be obtained.

Now, in order to represent the obtained equations graphically, take the values of variables as whole numbers only, because then it will be easier to represent the values on the graph.

The point where the two equations intersect will give the required dimensions. State the dimensions length and breadth from the values of the variables. Therefore, y is proven to have infinite values. So the variable x, too, has infinite values. The above sums are important to clear the concepts covered in Exercise 3. You will get many more such solved problems in Class 10 Maths Chapter 3 Exercise 3. Class 10 Maths Ex 3.




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