9TH MATHS CBSE

Let’s explore Coordinate Geometry even further with challenging problems, advanced applications, and step-by-step solutions to deepen understanding

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Advanced Problem-Solving in Coordinate Geometry 1. Intersection of Lines Problem: Find the point of intersection of the lines represented by: Solution:To find the intersection, solve the two equations simultaneously. From Equation 2: x=2y−5.x = 2y – 5. Substitute x=2y−5x = 2y – 5 into Equation 1: 2(2y−5)+3y=13.2(2y – 5) + 3y = 13. 4y−10+3y=13.4y – … Read more

“Coordinate Geometry”, which introduces the fundamental concepts of representing and analyzing geometric shapes in a two-dimensional plane using the Cartesian system

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Key Concepts 1. Cartesian System The Cartesian system uses two perpendicular axes: Origin (OO): Intersection point of the axes (0,0)(0, 0).Points are represented as ordered pairs (x,y)(x, y), where: 2. Quadrants The plane is divided into four quadrants: 3. Plotting Points Example: Plot (2,3)(2, 3). 4. Distance Formula The distance between two points (x1,y1)(x_1, y_1) … Read more

Polynomials, a critical evaluation and detailed explanation of its key concepts, with examples and problem-solving techniques

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Key Concepts in Polynomials Key Operations and Concepts 1. Addition, Subtraction, and Multiplication Example: Simplify (2×2+3x+4)+(x2−5x+6)(2x^2 + 3x + 4) + (x^2 – 5x + 6): =(2×2+x2)+(3x−5x)+(4+6).= (2x^2 + x^2) + (3x – 5x) + (4 + 6). =3×2−2x+10.= 3x^2 – 2x + 10. 2. Division of Polynomials Division is performed using long division. Example: … Read more

Number System basics

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1. Sets and Classification of Numbers Sets provide a foundation to understand the hierarchy and relationships between types of numbers.SE Hierarchy of Numbers: 2. Surds Surds are irrational numbers expressed in root form. Basic Rules: Simplification Examples: 3. Complex Numbers (Introduction) Complex numbers are an extension of real numbers, forming C\mathbb{C}, and include the imaginary … Read more