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The work done by a body on the application of a constant force is the product of the constant force and the distance travelled by the body in the direction of the force. Express this in the form of a linear equation in two variables (work w and distance d) and draw its graph by taking the constant force as 3 units. What is the work done when the distance travelled is 2 units? Verify it by plotting it on the graph.
The relationship is expressed as work equals force times distance, creating the linear equation w = 3d with a constant force of 3 units. To find the work done when the distance travelled is 2 units, substitute d = 2 into the formula, yielding w = 3(2) = 6 units of work. On a standard coordinate grapRead more
The relationship is expressed as work equals force times distance, creating the linear equation w = 3d with a constant force of 3 units. To find the work done when the distance travelled is 2 units, substitute d = 2 into the formula, yielding w = 3(2) = 6 units of work. On a standard coordinate graph with distance on the horizontal axis and work on the vertical axis, plotting the linear path through (0,0) and (2,6) verifies the result.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/
See lessA merchant in the port city of Lothal is exchanging bags of spices for copper ingots. He receives 15 ingots for every 2 bags of spices. If he brings 12 bags of spices to the market, how many copper ingots will he leave with?
The exchange rate between the goods establishes a direct proportional relationship. The merchant receives 15 copper ingots for every 2 bags of spices. Since he brings a total of 12 bags of spices to the market, we can find the number of pairs by dividing 12 by 2, which gives 6 pairs. Multiplying theRead more
The exchange rate between the goods establishes a direct proportional relationship. The merchant receives 15 copper ingots for every 2 bags of spices. Since he brings a total of 12 bags of spices to the market, we can find the number of pairs by dividing 12 by 2, which gives 6 pairs. Multiplying these 6 units by the 15 ingots per pair results in a total of 90 copper ingots.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/
See lessLook at the sequence of numbers on one column of the Ishango bone: 11, 13, 17, 19. What do these numbers have in common? List the next three numbers that fit this pattern.
The numbers 11, 13, 17, and 19 found on the historic Ishango bone all share a specific mathematical property, they are prime numbers. Prime numbers are natural numbers greater than 1 that cannot be formed by multiplying two smaller natural numbers. They only have two distinct factors, 1 and the numbRead more
The numbers 11, 13, 17, and 19 found on the historic Ishango bone all share a specific mathematical property, they are prime numbers. Prime numbers are natural numbers greater than 1 that cannot be formed by multiplying two smaller natural numbers. They only have two distinct factors, 1 and the number itself. Continuing this sequential prime number pattern directly after 19, the next three consecutive prime numbers are 23, 29, and 31.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/
See lessWe know that Natural Numbers are closed under addition (the sum of any two natural numbers is always a natural number). Are they closed under subtraction? Provide a couple of examples to justify your answer.
Natural numbers are not closed under the operation of subtraction because the result of subtracting one natural number from another is not always a natural number itself. For instance, subtracting a smaller number from a larger one like 5 minus 2 gives 3, which is a natural number. However, reversinRead more
Natural numbers are not closed under the operation of subtraction because the result of subtracting one natural number from another is not always a natural number itself. For instance, subtracting a smaller number from a larger one like 5 minus 2 gives 3, which is a natural number. However, reversing the order to 2 minus 5 results in negative 3. Since negative numbers are integers and not natural numbers, closure does not hold true.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/
See lessAncient Indians used the joints of their fingers to count, a practice still seen today. Each finger has 3 joints, and the thumb is used to count them. How many can you count on one hand? How does this relate to the ancient base-12 counting systems?
Each of the four fingers has three distinct joints, allowing you to count up to 12 on a single hand by using your thumb as a pointer to touch each joint. This practical method is the foundation of ancient base-12 counting systems, known as duodecimal systems. It explains why historical cultures settRead more
Each of the four fingers has three distinct joints, allowing you to count up to 12 on a single hand by using your thumb as a pointer to touch each joint. This practical method is the foundation of ancient base-12 counting systems, known as duodecimal systems. It explains why historical cultures settled on twelve as a primary mathematical grouping, which influenced modern measurements like twelve inches in a foot and twelve hours on a clock face.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/
See less