 ## SPM Form 4 Additional Mathematics Chapter 6 – Coordinate Geometry

06 Coordinate Geometry  Distance between 2 Points Division of Line Segment Areas of Polygons Axes Intercepts and Gradients Equation of a Straight Line Parallel and Perpendicular Lines Equation of a Locus Further Practice Short Questions Example 1 & 2 Example 3, 4 & 5 Example 6 & 7 Long Questions Example 1 & 2 Example … Read moreSPM Form 4 Additional Mathematics Chapter 6 – Coordinate Geometry

## Coordinate Geometry Long Question (Question 7 & 8)

Question 7: Solutions by scale drawing will not be accepted. Diagram below shows a triangle OPQ. Point S lies on the line PQ. (a) A point Y moves such that its distance from point S is always 5 uints. Find the equation of the locus of Y.   (b) It is given that point Pand point … Read moreCoordinate Geometry Long Question (Question 7 & 8)

## 6.6 Equation of a Locus

6.6 Equation of a Locus 1. The equation of the locus of a moving point P(x, y) which is      always at a constant distance (r) from a fixed point (x1, y1) is: 2. The equation of the locus of a moving point P(x, y) which is       always at a constant distance … Read more6.6 Equation of a Locus

## 6.5 Parallel Lines and Perpendicular Lines

6.5 Parallel Lines and Perpendicular Lines (A) Parallel Lines 1. If two straight lines are parallel, they have same gradient. In the above diagram, if straight line L1 is parallel to straight line L2, gradient of L1 = gradient of L2 m 1 = m 2 Example 1: Given that the equation of a straight line parallel to x + 8y= 40 … Read more6.5 Parallel Lines and Perpendicular Lines

## 6.4 Equation of Straight Lines (Part 2)

6.4 Equation of Straight Lines Case 1 1. The gradient and coordinates of a point are given. 2. The equation of a straight line with gradient m passes through the       point (x1, y1) is: Example 1: A straight line with gradient –3 passes through the point (–1, 5). Find the equation of this line. Solution: … Read more6.4 Equation of Straight Lines (Part 2)

## 6.4 Equations of Straight Lines (Part 1)

6.4 Axes Intercepts and Gradient (A) Formula for gradient: 1. Gradient of the line joining (x1, yl) and (x2, y2) is: 2. Gradient of the line with knowing x–intercept and y–intercept     is: 3. The gradient of the straight line joining P and Q is equal to the      tangent of angle θ, … Read more6.4 Equations of Straight Lines (Part 1)