NCERT Solutions for Class 10th Maths Chapter 7 Coordinate Geometry Ex 7.2 Q4

## NCERT Solutions for Class 10th Maths Chapter 7 Coordinate Geometry Ex 7.2 Q4

## Things you can do in Coordinate Geometry

If you know the coordinates of a group of points you can:

- Determine the distance between them
- Find the midpoint, slope and equation of a line segment
- Determine if lines are parallel or perpendicular
- Find the area and perimeter of a polygon defined by the points
- Transform a shape by moving, rotating and reflecting it.
- Define the equations of curves, circles and ellipses.

Information on all these and more can be found in the pages listed below.

Introduction to Coordinate Geometry
A system of geometry where the position of points on the plane is described using an ordered pair of numbers.
Recall that a plane is a flat surface that goes on forever in both directions. If we were to place a point on the plane, coordinate geometry gives us a way to describe exactly where it is by using two numbers. ## What are coordinates?To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the D and 3 are called the ## The Coordinate PlaneIn coordinate geometry, points are placed on the “coordinate plane” as shown below. It has two scales – one running across the plane called the “x axis” and another a right angles to it called the y axis. (These can be thought of as similar to the column and row in the paragraph above.) The point where the axes cross is called the On the y-axis, values above the origin are positive and those below are negative. A point’s location on the plane is given by two numbers,the first tells where it is on the x-axis and the second which tells where it is on the y-axis. Together, they define a single, unique position on the plane. So in the diagram above, the point A has an x value of 20 and a y value of 15. These are the coordinates of the point A, sometimes referred to as its “rectangular coordinates”. For a more in-depth explanation of the coordinate plane see The Coordinate Plane. |

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