Question 2 - End-of-Chapter Exercises - Chapter 1 Class 9 - Orienting Yourself: The Use of Coordinates (Ganita

Transcript

Question 2 Point W has x-coordinate equal to –5. Can you predict the coordinates of point H which is on the line through W parallel to the y-axis? Which quadrants can H lie in? Let’s draw the Cartesian plane Line where point W lies And where point H also lies Since point W has x-coordinate –5, it can lie anywhere along the blue line Given that Point H lies on the line through W parallel to the y-axis So, point H which is on the same blue line x = –5 Now, we need to predict coordinates Coordinates of point H can be x-coordinate will always be 5 y-coordinate can be any value (positive or negative) Thus, coordinates of point H would be (–5, y) where y is any value We are also asked which quadrant can point H lie Since coordinates of H is (–5, y), it could lie in 2nd Quadrant (if y-coordinate of H is positive) 3rd Quadrant (if y-coordinate of H is negative)