Coordinate Geometry studies points, lines, and figures using coordinates on the Cartesian plane. 1. Cartesian Plane A plane is divided into four quadrants by: x-axis (horizontal) y-axis (vertical) Any point P is represented as P(x,y)P(x, y), where: xx = abscissa (distance from y-axis) yy = ordinate (distance from x-axis) Quadrants: Quadrant x y I +…

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…

Coordinate Geometry – Class 9 CBSE Mathematics 1. Introduction Coordinate geometry, also known as analytic geometry, studies the geometric properties of shapes using a coordinate system. It helps in locating points on a plane using coordinates. The plane is divided by two perpendicular lines: x-axis (horizontal) y-axis (vertical) Their intersection is called the origin (O),…