## Co-ordinate Geometry

Subject: Optional Mathematics

### Lesson Info

• Notes 5
• Videos 15
• Exercises 62
• Practice Test 59
• Skill Level Medium

#### Distance Formula, Section Formula

The distance formula is used to determine the distance, d, between two points. If the coordinates of the two points are (x1, y1) and (x2, y2), the distance equals the square root of x2 − x1 squared + y2 − y1 squared. The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.

#### Locus

To every point in a plane there corresponds on ordered pair of real numbers and to every ordered pair of real numbers there corresponds a point on a plane. If we have an algebraic relation between x and y, we get a set of points in the plane for different values of x and y satisfying the relation. If we a set of points determined by some geometrical condition, we can represent it by an algebraic relation. This algebraic relation is called equation and the set of points in the plane is called Locus.

#### Equation of a Straight Line

An equation of the straight line can be calculated in different ways according to the given condition. This note contents the information about the straight line, horizontal line, slope of a straight line, collinear line, an equation of a straight line, an equation of line straight line and so on.

#### Three Standard form of Equation of Straight line

This note contents various method or way to measure the slope intercept.