We use many objects in our daily life, which are round in shape, such as wheels of a vehicle, sun, moon, a dinner plate, button of shirts etc. These are real examples of a circle. Let’s study about circle and it’s parts. Definition: 1. Circle A circle is a collection of […]
Read More →Plot Points on Cartesian Coordinate System Example: Plot the point (2, 3) and identify its position in which quadrant is located. First we will place a dot at the intersection of X and Y axis, which is the center of the Cartesian coordinate and known as the origin. From the origin, move 2 units going right. Our point is […]
Read More →Decimal Numbers A number whose whole number part and fractional part is separated by a decimal point is known as a decimal number. A dot (.) represents a decimal point. When the numbers are expressed in the decimal form are called decimal numbers. In a decimal number decimal point […]
Read More →History of Coordinate Geometry The Cartesian system or the rectangular coordinate system was invented in seventeenth century by Rene Descartes, the great French philosopher and mathematician. The coordinate system is also called the Cartesian system. Geometry was well developed to describe the dimension of an object, but it does not describe the position of an object. So, to […]
Read More →What is Ordinate Ordinate is the value of the Y coordinate on a coordinate plane. or Ordinate is the value of the Y axis on a coordinate plane. In a coordinate plane, the Ordinate is the Y coordinate of a point. The Vertical line is called the Y axis. The distance of a point from the X axis is called its Y coordinate or Ordinate. The Ordinate always comes […]
Read More →The tangent at any point of a circle is perpendicular to the radius through the point of contact. Given: A circle with center O, and a tangent XY to the circle at a point P. Prove: OP ⟂ XY Proof : Let Q be any point on XY other than P and join OQ. The […]
Read More →Abscissa – Definition and Example Definition: Abscissa is the value of the X coordinate on a coordinate plane. In a coordinate plane the abscissa is the X coordinate of a point. The Horizontal line is called the X axis, and abscissa is the value of the X axis on a coordinate plane. The distance of a point from the Y axis […]
Read More →The perpendicular from the center of a circle to a chord bisects the chord. Given: A circle with center O, AB is chord of a circle and OC perpendicular from the center O to the chord AB. i.e. OC ⊥ AB therefore ∠OCA and ∠OCB, Both angles are 900. To prove: AC = CB Construction: join OA and OB. Proof: In △OCA and △ OCB ∠OCA = ∠OCB […]
Read More →Parallel Intersecting and Perpendicular Lines Definition: Parallel Lines Two or more lines in a plane that never intersect or touch each other are called “Parallel lines”. The symbol “∥” is used to denote parallel lines. Example- PQ ∥ RS denoted that line PQ parallel to line RS. Intersecting lines […]
Read More →Tangent of a Circle Definition & Example In this lesson we will learn about tangent of a circle, before understanding the concept of a circle, let us know about circle. Circle Definition: A circle is a collection of all the points in a plane, whose all points are same distance from a fix point, is called “Circle”. […]
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