Quadratic Equations 🔹 Definition A quadratic equation in one variable is an equation of the form: ax2+bx+c=0ax^2 + bx + c = 0 where x is a variable a,b,ca, b, c are real numbers, and a≠0a \ne 0. 🔹 Standard Form ax2+bx+c=0ax^2 + bx + c = 0 Here: Coefficient of x2=ax^2 = a Coefficient…

1. Introduction to Geometry Geometry is the branch of mathematics that deals with shapes, sizes, relative positions of figures, and properties of space. The word Geometry comes from Greek words: Geo = Earth and Metron = Measurement. 2. Fundamental Terms 2.1 Point A point is a precise location in space. It has no length, breadth,…

Chapter: Coordinate Geometry — Class 9 Maths (NCERT) 🔹 1. Introduction Coordinate Geometry (also called Cartesian Geometry) is the branch of mathematics in which the position of a point, line, or shape is described using ordered pairs (x, y) on a plane. It forms a bridge between Algebra and Geometry. 🔹 2. Cartesian System (a)…

1. Definition of a Polynomial A polynomial is an algebraic expression consisting of variables and coefficients, involving only non-negative integer powers of variables. General form of a polynomial in one variable xxx: P(x)=anxn+an−1xn−1+⋯+a1x+a0P(x) = a_n x^n + a_{n-1} x^{n-1} + \dots + a_1 x + a_0P(x)=an​xn+an−1​xn−1+⋯+a1​x+a0​ where: a0,a1,…,ana_0, a_1, \dots, a_na0​,a1​,…,an​ are constants called coefficients.…

1. Definition of a Polynomial A polynomial is an algebraic expression consisting of variables and coefficients, involving only non-negative integer powers of variables. General form of a polynomial in one variable xxx: P(x)=anxn+an−1xn−1+⋯+a1x+a0P(x) = a_n x^n + a_{n-1} x^{n-1} + \dots + a_1 x + a_0P(x)=an​xn+an−1​xn−1+⋯+a1​x+a0​ where: a0,a1,…,ana_0, a_1, \dots, a_na0​,a1​,…,an​ are constants called coefficients.…

√ 1. Work Definition Work is said to be done when a force acts on an object and the object is displaced in the direction of the applied force. Mathematical Expression W=F×sW = F \times s W=F×s where WWW = Work done FFF = Force applied sss = Displacement of the object Condition for Work…

Laws of Motion Quiz – Class 9 Science Q1. Who formulated the three laws of motion?a) Albert Einsteinb) Isaac Newtonc) Galileo Galileid) Niels Bohr\text{a) Albert Einstein} \quad \text{b) Isaac Newton} \quad \text{c) Galileo Galilei} \quad \text{d) Niels Bohr}Answer: b) Isaac Newton\text{b) Isaac Newton} Q2. A body of mass 5 kg5\,\text{kg} is acted upon by a force of 20 N20\,\text{N}. What is its acceleration?a) 2 m/s²b) 4 m/s²c) 5 m/s²d) 10 m/s²\text{a) } 2\,\text{m/s²} \quad \text{b)…

  Q1. A car accelerates uniformly from a velocity of 10 m/s to 30 m/s in 10 seconds. What is its acceleration? Hint: Use the formula for uniform acceleration:a=v−uta = \frac{v – u}{t}​ Step-by-Step Solution: Initial velocity: u=10 m/su = 10 \, \text{m/s} Final velocity: v=30 m/sv = 30 \, \text{m/s} Time: t=10 st = 10 \, \text{s}…

1. Introduction Coordinate Geometry is the branch of mathematics where we study the position of points on a plane using numbers called coordinates. The plane on which we locate points is called the Cartesian Plane or Coordinate Plane. 2. Cartesian System A Cartesian Plane consists of two mutually perpendicular lines: The point where these two…