9th Class Math Notes

Complete Notes of 9th Class Math Notes in Mathematics English Medium by Mr. Tasneem Haider. These computerized notes are very helpful in the preparation of 9th Class Math Notes for students of the Mathematics and these are according to the paper patterns of all Punjab boards.

• Here are the detailed 9 class math notes to help you prepare for your exams.
• Solutions of Chapter No.1: Matrices and determinants of Mathematics 9th class.
• Solutions of Chapter No.2: Real and Complex Numbers of Mathematics 9th class.
• Solutions of Chapter No.3: Logarithms of Mathematics 9th class.
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• Solutions of Chapter No.4: Algebraic Expressions and Algebraic Formulas of Mathematics 9th class.
• Solutions of Chapter No.5: Factorization of Mathematics 9th class.
• Solutions of Chapter No.6: Algebraic Manipulation of Mathematics 9th class.
• Solutions of Chapter No.7: Linear Equations and Inequalities of Mathematics 9th class.
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• Solutions of Chapter No.8: Linear Graphs & Their Application of Mathematics 9th class.
• Solutions of Chapter No.9: Introduction to coordinate geometry of Mathematics 9th class.
• Solutions of Chapter No.10: Congruent Triangles of Mathematics 9th class.
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• Solutions of Chapter No.11: Parallelograms and Triangles of Mathematics 9th class.
• Solutions of Chapter No.12: Line Bisectors and Angle Bisectors of Mathematics 9th class.
• Solutions of Chapter No.13: Sides and Angles of A Triangle of Mathematics 9th class.
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• Solutions of Chapter No.14: Ratio and Proportion of Mathematics 9th class.
• Solutions of Chapter No.15: Pythagoras Theorem of Mathematics 9th class.
• Solutions of Chapter No.16: Theorems Related with Area of Mathematics 9th class.
• Solutions of Chapter No.17: Practical Geometry-Triangles of Mathematics 9th class.
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• A rectangular array of real numbers enclosed with brackets is said to form a matrix.
• A matrix A is called rectangular, if the number of rows and number of columns of A are not equal.
• A matrix A is called a square matrix, if the number of rows of A is equal to the number of columns.
• A matrix A is called a row matrix, if A has only one row.
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• A matrix A is called a column matrix, if A has only one column.
• A matrix A is called a null or zero matrix, if each of its entry is 0.
• Let A be a matrix. The matrix At is a new matrix which is called transpose of matrix A and is obtained by interchanging rows of A into its respective columns (or columns into respective rows).
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• A square matrix A is called symmetric, if At = A. 
• Let A be a matrix. Then its negative, −A, is obtained by changing the signs of all the entries of A.
• A square matrix M is said to be skew symmetric, if Mt = −M,
• A square matrix M is called a diagonal matrix, if atleast any one of entry of its diagonal is not zero and remaining entries are zero.
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• Draw angle bisectors of a given triangle and verify their concurrency.
• Draw perpendicular bisectors of the sides of a given triangle and verify their concurrency.
• Draw medians of a given triangle and verify their concurrency.
• Construct a triangle equal in area to a given quadrilateral.
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• Construct a rectangle equal in area to a given triangle.
• Construct a square equal in area to a given rectangle.
• Construct a triangle of equivalent area on a base of given length.
• Three or more than three lines are said to be concurrent if these pass through the same point and that point is called the point of concurrency.
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• The point where the internal bisectors of the angles of a triangle meet is called incentre of a triangle.
• Circumscentre of a triangle means the point of concurrency of the three perpendiculars bisectors of the sides of a triangle.
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• Median of a triangle means a line segment joining a vertex of a triangle to the midpoint of the opposite side.
• Orthocentre of a triangle means the point of concurrency of three altitudes of a triangle.
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