Download CBSE Revision Notes for CBSE Class 09 Mathematics Number Systems Review of representation of natural numbers, integers, rational numbers on the number line. Representation of terminating / non-terminating recurring decimals, on the number line through successive magnification. Rational numbers as recurring/terminating decimals. Recall of laws of exponents with integral powers.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Polynomials Definition of a polynomial in one variable, its coefficients, with examples and counter examples, its terms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Coordinate Geometry The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Linear Equations in Two Variables Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax+by+c=0. Prove that a linear equationin two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they seem to lie on a line. Graph of linear equations in two variables.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Introduction to Euclids Geometry (Not for Exam) Geometry in India and Euclid's geometry. Euclid's method of formalizing observed phenomenon into rigorous mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Lines and Angles If a ray stands on a line, then the sum of the two adjacent angles so formed is 180 degree and the converse. If two lines intersect, vertically opposite angles are equal. Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines. Lines which are parallel to a given line are parallel. If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Triangles Two triangles are congruent if any two sides/angles and the included angle/sides of one triangle is equal to any two sides/angles and the included angle/sides of the other triangle. Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle. Two right triangles are congruent if the hypotenuse and a side of one triangle are equal to the hypotenuse and a side of the other triangle. The angles/sides opposite to equal sides/angles of a triangle are equal. Triangle inequalities and relation between 'angle and facing side' inequalities in triangles.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Quadrilaterals The diagonal divides a parallelogram into two congruent triangles. In a parallelogram opposite sides are equal, and conversely. In a parallelogram opposite angles are equal, and conversely. A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal. In a parallelogram, the diagonals bisect each other and conversely. In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Areas of Parallelograms and Triangles (Not for Exams) Areas of Parallelograms and Triangles: Parallelograms on the same base and between the same parallels have the same area for class 09 Mathematics. It includes all main concepts of the chapter in CBSE class 09 Science.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Circles Equal chords of a circle subtend equal angles at the center and its converse. The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord. There is one and only one circle passing through three given non-collinear points. Equal chords of a circle are equidistant from the center and conversely. Angles in the same segment of a circle are equal.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Constructions Construction of bisectors of line segments and angles of measure 60, 90, 45 etc. degrees, equilateral triangles. Construction of a triangle given its base, sum/difference of the other two sides and one base angle. Construction of a triangle of given perimeter and base angles.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Herons Formula Area of a triangle using Heron's formula (without proof) and its application in finding the area of a quadrilateral for class 09 Mathematics. It includes all main concepts of the chapter in CBSE class 09 Science.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Surface Areas and Volumes Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones for class 09 Mathematics. It includes all main concepts of the chapter in CBSE class 09 Science.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Statistics Introduction to Statistics: Collection of data, presentation of data —tabular form, ungrouped / grouped, bar graphs, histograms (with varying baselengths), frequency polygons. Mean, median and mode of ungrouped data.
Download CBSE Revision Notes for CBSE Class 09 Mathematics Probability History, Repeated experiments and observed frequency approach to probability. Focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real - life situations, and from examples used in the chapter on statistics).
CBSE revision notes for class 9 Mathematics NCERT chapter wise notes of 9th Mathematics CBSE key points and chapter summary for 9 Mathematics all chapters in PDF format for free download. CBSE short key notes and chapter notes for revision in exams. CBSE short notes of 9th class Mathematics. Summary of the chapter for class 9 Mathematics are available in PDF format for free download. These NCERT notes are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. These notes are based on latest NCERT syllabus and designed as per the new curriculum issued by CBSE for this session. Class 9 Mathematics chapter wise NCERT note for Mathematics part and Mathematics for all the chapters can be downloaded from website and myCBSEguide mobile app for free.
Key Notes for CBSE Board Students for Class 9. Important topics of all subjects are given in these CBSE notes. These notes will provide you overview of the chapter and important points to remember. These are very useful summary notes with neatly explained examples for best revision of the book.
CBSE class-09 key notes and summary of the chapter in downloadable PDF file format is given here. These CBSE note for class 9 Mathematics, Science, Social and English as per the latest syllabus issued by CBSE are prepared by team of our expert teachers. Revising these quick notes is the best way to study during exam days.
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