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View and Download the solved PDF Notes, solved PDF numerical problems or 9th Class Mathematics notes of Chapter 5 “Factorization” of Punjab Textbook Board. These 9th class Mathematics notes of 4th Chapter are according to the new syllabus (2019) of Punjab Boards including Lahore Board, Gujranwala Board, Sahiwal Board, Rawalpindi Board, Faisalabad Board, Multan Board, Bahawalpur Board, Federal Board, DG Khan Board and Sargodha Board. Students of 9th Class of all these board can facilitate from the Mathematics notes given below. You can also download 9th Class Mathematics Chapter 5 solved PDF Questions and Numericals Problems.

Unit 5: Factorization

These are clearly written notes about Chapter 5 Questions/Problems. So first Chapter 5 is all about Factorization.

In this chapter we will prove Remainder Therorem with enough examples. Finding Remainder when a polynomial is divided by another linear polynomial. We will define zeros of polynomials. State and prove factor theorem.

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View and Download the solved questions, solved numerical problems or 9th Class Mathematics notes of Chapter 2 “Real and Complex Numbers” of Punjab Textbook Board. These 9th class Mathematics notes of 2nd Chapter are according to the new syllabus (2019) of Punjab Boards including Lahore Board, Gujranwala Board, Sahiwal Board, Rawalpindi Board, Faisalabad Board, Multan Board, Bahawalpur Board, Federal Board, DG Khan Board and Sargodha Board. Students of 9th Class of all these board can facilitate from the Mathematics notes given below. You can also download 9th Class Mathematics Chapter 2 Solved Questions and Numericals Problems.

Unit 2: Real and Complex Numbers

These are clearly written notes about chapter 2 problems. This Chapter is all about real numbers and complex numbers as you can see in the below animated picture.

Real numbers as a union of sets of rational and irrational numbers.We will draw numbers on real line, and demonstrate with terminating and non-terminating recurring decimals on the real line.
Differentiate between radical form and exponential form of expression. Transform an expression given in radical form to an exponential form and vice versa.

Apply the laws of exponents to simplify expression with real exponents.
Define Complex number z = a + ib, Conjugate of a complex number. Knowing condition for equality of complex numbers.
Define basic operations (Adddition, Subtraction, Multiplication, Division) of complex numbers.

9thClassReal&ComplexNumbers

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View and Download the solved questions, solved numerical problems or 9th Class Mathematics notes of Chapter 1 “Matrices and Determinants” of Punjab Textbook Board. These 9th class Mathematic notes of 1st Chapter are according to the new syllabus (2019) of Punjab Boards including Lahore Board, Gujranwala Board, Sahiwal Board, Rawalpindi Board, Faisalabad Board, Multan Board, Bahawalpur Board, Federal Board, DG Khan Board and Sargodha Board. Students of 9th Class of all these board can facilitate from the Mathematic notes given below. You can also download 9th Class Mathematics Chapter 1 Solved Questions.

So Start of first Chapter of 9th Class Mathematics. These are clearly written notes about chapter one problems. So first chapter is all about Matrix.

In this chapter Students will learn about Matrix as a tool of solving linear equations with two or three unknowns, Order of matrix, Addition and Subtraction of matrix, Equality of Matrix and types of matrix like Identity matrix, Row matrix, Column matrix, Scalar matrix, Square matrix, Identity matrix, Diagonal matrix Symmetric and Skew Symmetric matrix.

You will learn further advanced concepts like Multiplication of matrices, Inverse of matrices, Solution of Simultaneous Linear equations and clearly explained concepts for 9th Class Mathematics level.

Matrix is rectangular array of numbers arranged in the forms of rows and columns.

9th Class Matrix

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View and Download the solved questions, solved numerical problems or 9th Class Physics notes of Chapter 8 “Thermal Properties of Matter” of Punjab Textbook Board. These 9th class physics notes of 8th Chapter are according to the new syllabus (2013) of Punjab Boards including Lahore Board, Gujranwala Board, Sahiwal Board, Rawalpindi Board, Faisalabad Board, Multan Board, Bahawalpur Board, Federal Board, DG Khan Board and Sargodha Board. Students of 9th Class of all these board can facilitate from the physics notes given below. You can also download 9th Class Physics Chapter 8 Solved Questions and Numericals Problems.

Unit 8: Thermal Properties of Matter

By studying this chapter students will be able to: Define temperature (as quantity which determines the direction of flow of thermal energy). Define heat (as the energy transferred resulting from the temperature difference between two objects). List basic thermometric properties for a material to construct a thermometer. Convert the temperature from one scale to another (Fahrenheit, Celsius and Kelvin scales). Describe rise in temperature of a body in terms of an increase in its internal energy. Define the terms heat capacity and specific heat capacity. Describe heat of fusion and heat of vaporization (as energy transfer without a change of temperature for change of state). Describe experiments to determine heat of fusion and heat of vaporization of ice and water respectively by sketching temperature-time graph on heating ice. Explain the process of evaporation and the difference between boiling and evaporation. Explain that evaporation causes cooling. List the factors which influence surface evaporation. Describe qualitatively the thermal expansion of solids (linear and volumetric expansion). Explain thermal expansion of liquids (real and apparent expansion). Solve numerical problems based on the mathematical relations learnt in this unit.

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View and Download the solved questions, solved numerical problems or 9th Class Physics notes of Chapter 7 “Properties of Matter” of Punjab Textbook Board. These 9th class physics notes of 7th Chapter are according to the new syllabus (2013) of Punjab Boards including Lahore Board, Gujranwala Board, Sahiwal Board, Rawalpindi Board, Faisalabad Board, Multan Board, Bahawalpur Board, Federal Board, DG Khan Board and Sargodha Board. Students of 9th Class of all these board can facilitate from the physics notes given below. You can also download 9th Class Physics Chapter 7 Solved Questions and Numerical Problems.

Unit 7: Properties of Matter

By studying this chapter students will be able to: State kinetic molecular model of matter (solid, liquid and gas forms). Describe briefly the fourth state of matter i.e. Plasma. Define the term density. Compare the densities of a few solids, liquids and gases. Define the term pressure (as a force acting normally on unit area). Explain how pressure varies with force and area in the context of everyday examples. Explain that the atmosphere exerts a pressure. Describe how the height of a liquid column may be used to measure the atmospheric pressure. Describe that atmospheric pressure decreases with the increase in height above the Earth’s surface. Explain that changes in atmospheric pressure in a region may indicate a change in the weather. state Pascal’s law. Apply and demonstrate the use with examples of Pascal’s law. State relation for pressure beneath a liquid surface to depth and to density i.e.,(P=pgh) and solve problems using this equation. State Archimedes principle. Determine the density of an object using Archimedes principle. State the upthrust exerted by a liquid on a body. State principle of floatation. Explain that a force may produce a change in size and shape of a body. Define the terms stress, strain and Young’s modulus. State Hooke’s law and explain elastic limit.

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View and Download the solved questions, solved numerical problems or 9th Class Physics notes of Chapter 6 “Work and Energy” of Punjab Textbook Board. These 9th class physics notes of 6th Chapter are according to the new syllabus (2013) of Punjab Boards including Lahore Board, Gujranwala Board, Sahiwal Board, Rawalpindi Board, Faisalabad Board, Multan Board, Bahawalpur Board, Federal Board, DG Khan Board and Sargodha Board. Students of 9th Class of all these board can facilitate from the physics notes given below. You can also download 9th Class Physics Chapter 6 Solved Questions and Numericals Problems.

Unit 6: Work and Energy

By studying this chapter students will be able to: define work and its SI unit. Calculate work done using equation Work = force x distance moved in the direction of force. Define energy, kinetic energy and potential energy. State unit of energy. Prove that kinetic energy and potential energy. Solve problems using these equations. List the different forms of energy with examples. Describe the processes by which energy is converted from one form to another with reference to
• fossil fuel energy
• hydroelectric generation
• solar energy
• nuclear energy
• geothermal energy
• wind energy
• biomass energy
State mass energy equation and solve problems using it. Describe the process of electricity generation by drawing a block diagram of the process from fossil fuel input to electricity output. List the environmental issues associated with power generation. Explain by drawing energy flow diagrams through steady state systems such as filament lamp, a power station, a vehicle travelling at’ a constant speed on a level road. Differentiate energy sources as non renewable and renewable energy sources with examples of each. Define efficiency of a working system and calculate the efficiency of an energy conversion using the formula:
efficiency = energy output converted into the required form / total energy input
explain why a system cannot have an efficiency of 100%. Define power and calculate power from the formula: Power = work done / time taken
Define the unit of power “watt” in SI and its conversion with horse power. Solve problems using mathematical relations learnt in this unit.

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View and Download the solved questions, solved numerical problems or 9th Class Physics notes of Chapter 9 “Transfer of Heat” of Punjab Textbook Board. These 9th class physics notes of 9th Chapter are according to the new syllabus (2013) of Punjab Boards including Lahore Board, Gujranwala Board, Sahiwal Board, Rawalpindi Board, Faisalabad Board, Multan Board, Bahawalpur Board, Federal Board, DG Khan Board and Sargodha Board. Students of 9th Class of all these board can facilitate from the physics notes given below. You can also download 9th Class Physics Chapter 9 Solved Questions and Numericals Problems.

Unit 9: Transfer of Heat

By studying this chapter students will be able to: Recall that thermal energy is transferred from a region of higher temperature to a region of lower temperature. Describe in terms of molecules and electrons how heat transfer occurs in solids. State the factors affecting the transfer of heat through solid conductors and hence, define the term Thermal Conductivity. Solve problems based on thermal conductivity of solid conductors. Write examples of good and bad conductors of heat and describe their uses. Explain the convection currents in fluids due to difference in density. State some examples of heat transfer by convection in everyday life. Explain insulation reduces energy transfer by conduction. Describe the process of radiation from all objects. Explain that energy transfer of a body by radiation does not require a material medium and rate of energy transfer is affected by:

  • Colour and texture of the surface
  • Surface temperature
  • Surface area

9th Class Physics Chapter 9 Short Question Answers

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View and Download the solved questions, solved numerical problems or 9th Class Physics notes of Chapter 5 “Gravitation” of Punjab Textbook Board. These 9th class physics notes of 5th Chapter are according to the new syllabus (2013) of Punjab Boards including Lahore Board, Gujranwala Board, Sahiwal Board, Rawalpindi Board, Faisalabad Board, Multan Board, Bahawalpur Board, Federal Board, DG Khan Board and Sargodha Board. Students of 9th Class of all these board can facilitate from the physics notes given below. You can also download 9th Class Physics Chapter 5 Solved Questions and Numericals Problems.

Unit 5: Gravitation

By studying this chapter students will be able to: State Newton’s law of gravitation. Explain that the gravitational forces are consistent with Newton’s third law. Explain gravitational field as an example of field of force. Define weight (as the force on an object due to a gravitational field). Calculate the mass of Earth by using law of gravitation. Solve problems using Newton’s law of gravitation. Explain that value of g decreases with altitude from the surface of Earth. Discuss the importance of Newton’s law of gravitation in understanding the motion of satellites.

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