These ncert book chapter wise questions and answers are very helpful for CBSE board exam. We can conclude that and are the solutions of the linear equation. We can optionally consider the given below table for plotting the linear equation on the graph.

Class 9 Maths NCERT Ex 4.3 Solutions Ch 4 Linear Equations in Two Variables

We need to give the two equations of the line that passes through the point. We know that infinite number of lines can pass through any given point. We can consider the linear equations and. Therefore, we can conclude that the line of the linear equations and will pass through the point. We know that if any point lie on the graph of any linear equation, then that point is the solution of that linear equation.

We can conclude that is a solution of the linear equation. We need to substitute in the linear equationto get. Therefore, we can conclude that the value of a will be. From the given situation, we can conclude that the distance covered at the rate Rs 5 per.

We can conclude that the linear equation for the given situation will be:. We need to draw the graph of the linear equation. Let us check whether are the solutions of the linear equation. Forwe get. Therefore, the given graph does not belong to the linear equation.

Therefore, the given graph belongs to the linear equation. Therefore, hat the given graph belongs to the linear equation. We are given that the work done by a body on application of a constant force is directly proportional to the distance travelled by the body. Let the work done be W and let constant force be F. We need to draw the graph of the linear equationwhen the force is constant as 5 units, i. Therefore, we can conclude from the above mentioned graph, the work done by the body, when the distance is 2 units will be 10 units and when the distance is 0 units, the work done will be 0 unit.

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The contribution made by Yamini is Rs x and the contribution made by Fatime is Rs y.There is not any login or registration condition. Just visit to website and use the contents free of cost. The solution of a linear equation is not affected when 1. The same number is added to or subtracted from both sides of the equation. Both sides of the equation are multiplied or divided by the same non-zero number.

The graph of every linear equation in two variables is a straight line and every point on the graph straight line represents a solution of the linear equation. For any inconvenience, contact us for help. We are here to help you without any charge. You can coordinate with us message via social media or text message.

When is the solution of a linear equation is not affected? What is meant by a solution of the linear equation?

chapter 4 class 9 maths exercise 4.3

An algebraic equation is a statement of equality of algebraic expression involving one or more variables. A linear equation in one variable say x can be written as linear equation in two variables, by taking coefficient of other variable say y as zero.

Every solution of the linear equation cab be represented by a unique point on the graph of the equation. Give the equations of two lines passing through 2, How many more such lines are there, and why? There are infinite number of lines that can pass through 2, 4 as infinite number of lines passes through a point.

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.All the solutions are available in Video Format also, in which each question is described properly. After going through PDF solutions, student can take help from videos if required. If still someone is facing problem, please contact us for help. It is a linear equation. So, it will not be considered as a quadratic equation. Visit to Discussion Forum to ask your doubts and answer the questions asked by other users.

Class 10 Maths Exercise 4. If the difference of their perimeters is 16 cm, find the sides of two squares. If the second number is one more than twice the first number, find the numbers. Find its base. Four years hence the product of their ages in years will be Find their present age. Find the speed of the stream.

chapter 4 class 9 maths exercise 4.3

When 18 is added to the number, the digits interchanged their places. Find the number. Find the original fraction.

chapter 4 class 9 maths exercise 4.3

Find the numbers. Questions for Practice on 10th Maths Chapter 4 A natural number, when increased by 12 equals times its reciprocal. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find their present ages. Had he got 3 marks more in Mathematics and 4 marks less in Science, the product of his marks, would have been Find the marks in the two subjects.

What is meant by a quadratic equation? Exercise 4.Win, withdraw your 5k. Win withraw your 5k.

NCERT Solutions for Class 9 Maths Exercise 4.3

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NCERT Solutions for Class 9 Maths Chapter 4

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NCERT Solutions for class 9 Maths Chapter 4- Linear Equations In Two Variables Exercise 4.3

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Algebraic Expressions and Algebraic Formulas – Exercise 4.3

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That's great, but many of those predictions will be hopelessly wrong by the end of March. That's why it's so fascinating that Ray Kurzweil, one of the leading thinkers when it comes to the future of technology, has had such a strong track record in making predictions about technology for nearly two decades. So how does he do it. The fact is, Ray has a system and this system is called the Law of Accelerating Returns.

In his new book How to Create a Mind: The Secret of Human Thought Revealed, Kurzweil points out that "every fundamental measure of information technology follows predictable and exponential trajectories. Thanks to paradigms such as Moore's Law, which reduces computing power to a problem of how many transistors you can cram on a chip, anyone can intuitively understand why computers are getting exponentially faster and cheaper over time.

chapter 4 class 9 maths exercise 4.3

The other famous exponential growth curve in our lifetime is the sheer amount of digital information available on the Internet. Kurzweil typically graphs this as "bits per second transmitted on the Internet. That's why "Big Data" is such a buzzword these days - there's a growing recognition that we're losing track of all the information we're putting up on the Internet, from Facebook status updates, to YouTube videos, to funny meme posts on Tumblr.

In just a decade, we will have created more content than existed for thousands of years in humanity's prior experience. And it's not just computing power or the growth of the Internet.

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Chapter ten in Kurzweil's latest book, How to Create a Mind, includes 15 other charts that show these exponential growth curves at work. Once any technology becomes an information technology, it becomes subject to the Law of Accelerating Returns. Consider biomedicine, for example. Now that the human genome is being translated into a digital life code of 1's and 0's that can be processed by computers, it's also an information technology, and that means it's also subject to the Law of Accelerating Returns.

When you look at the cost of sequencing a human-sized genome, the cost started dropping exponentially around 2001 and fell off the genomic cliff in about 2007 -- about the same time that Craig Venter's genome project took off. As Ray points out in How to Create a Mind, the reason why typical pundits and prognosticators typically get it wrong year after year is that the human mind has evolved to think linearly, not exponentially.

We conceive of 40 steps as a linear progression: one step after another, from 1 to 40. Ray thinks exponentially, though. That's why Ray's latest project - reverse-engineering the human brain - is so exciting. So what can we count on for 2013.

Think like Ray, and use the Law of Accelerating Returns to your advantage.

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Figure out the scale of the problem that you're facing, figure out the computing power needed to achieve it, and then work backwards to arrive at an approximate timeline.

Using this simple approach, Ray was able to predict that an artificial intelligence technology like Deep Blue would be capable of beating a chess grandmaster by 1998. He talked to a grandmaster, figured out that an AI machine would have to recognize 100,000 possible board positions at any time, and that it would have to have the raw computing chops to crunch all possible combinations of these 100,000 board positions over and over again.