July 23, 2026
From JPS Learning
JPSilwania
July 23, 2026
Class 10 Maths
Develop strong mathematical concepts and problem-solving skills with step-by-step explanations. This course covers the complete Class 10 Mathematics syllabus and prepares students for school and board examinations. Course includes chapter-wise notes, important formulas, solved examples, NCERT solutions, additional practice questions, printable worksheets, case-study questions, competency-based questions, MCQs, chapter tests, revision assignments, and sample papers.July 23, 2026
Important Formulas: Orienting Yourself: The Use of Coordinates
1. Coordinates of a Point For a point P in the Cartesian plane, its coordinates are written as: P(x,y) where x = abscissa (x-coordinate) and y = ordinate (y-coordinate) 1.2 Special Coordinate Cases 2. Ordered Pair Rule If x=y, then (x,y)=(y,x)If x≠y, then (x,y)≠(y,x) The order of coordinates matters. Interchanging the x […]July 23, 2026
Worksheet: Orienting Yourself: The Use of Coordinates – 2
Q1: Which point lies in Quadrant III? (a) (2,5) (b) (−3,4) (c) (−2,−7) (d) (6,−1) Q2: The ordinate of (8,−6) is: (a) 8 (b) -6 (c) 2 (d) 14 Q3: Distance between (0,2) and (0,−5) is: (a) 3 (b) 5 (c) 7 (d) 10 Q4: Two points P(a,b) and Q(b,a) are the same point if and only if: (a) a>b(b) a<b(c) a=b(d) a=0 Q5: State whether the following statement is True or False: “The point (5,0) lies on the y-axis.” Q6: State whether the following statement is True or False:“The quadrants […]July 23, 2026
Worksheet with Solutions: Introduction to Linear Polynomials – 1
Q1: Which of the following is a linear polynomial? (a) x2+3x+2 (b) 5x−7 (c) x3−1 (d) 4 Q2: In the polynomial p(x)=7x+3, the coefficient of x is: (a) 3 (b) 7x (c) 7 (d) 1 Q3: A linear pattern has consecutive terms: 5, 9, 13, 17, … What is the general term Tn? (a) Tn=4n+1 (b) Tn=5n (c) Tn=3n+2 (d) Tn=4n−3 Q4: The graph of y=−3x+6 represents: (a) Linear growth with y-intercept 6 (b) Linear decay with y-intercept 6 (c) Linear growth with y-intercept −3 (d) Linear decay with y-intercept −3 […]July 23, 2026
Chapter Notes: Introduction to Linear Polynomials
1. Introduction Welcome to the intriguing world of polynomials! These mathematical expressions, made up of numbers and variables, are essential in algebra and help us model real-life situations. Term Meaning Example Coefficient The number multiplied by a variable. 5 (for x2) and 2 (for y) Variable A symbol (usually a letter) representing a value. x and y Exponent A number […]July 22, 2026
Worksheet : Orienting Yourself: The Use of Coordinates – 1
Q1: The point where the x-axis and y-axis intersect is called: (a) Quadrant (b) Origin (c) Abscissa (d) Ordinate Q2: The abscissa of a point P in the Cartesian plane refers to:(a) Its perpendicular distance from the x-axis(b) Its perpendicular distance from the y-axis(c) The sum of its x- and y-coordinates(d) The distance of the point from the origin Q3: […]July 22, 2026
Chapter Notes: Orienting Yourself: The Use of Coordinates
1.Introduction A system of coordinates is a structured framework – like the grid lines on a map or graph paper – that enables us to use numbers to describe the exact physical locations of points or objects. Historical Roots in Bhārat: The first systematic use of grids occurred in the Sindhu-Sarasvatī Civilisation, where city streets were built with striking […]
July 22, 2026