COORDINATE GEOMETRY (A) Main Concepts and Results Cartesian system Coordinate axes Origin Quadrants Abscissa Ordinate Coordinates of a point Ordered pair Plotting of points in the cartesian plane: • In the Cartesian plane, the horizontal line is called the x-axis and the vertical line is called the y-axis, • The coordinate axes divide the plane into four parts called quadrants, • The point of intersection of the axes is called the origin, • Abscissa or the x-coordinate of a point is its distance from the y-axis and the ordinate or the y-coordinate is its distance from the x-axis, • (x, y) are called the coordinates of the point whose abscissa is x and the ordinate is y, • Coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the y-axis is of the form (0, y), CHAPTER 3 16/04/18 COORDINATE GEOMETRY 25 • The coordinates of the origin are (0, 0), • Signs of the coordinates of a point in the first quadrant are (+, +), in the second quadrant (–, +), in the third quadrant (–, –) and in the fourth quadrant (+, –). (B) Multiple Choice Questions Write the correct answer : Sample Question 1: The points (other than origin) for which abscissa is equal to the ordinate will lie in (A) I quadrant only (B) I and II quadrants (C) I and III quadrants (D) II and IV quadrants Solution : Answer (C) EXERCISE 3.1 Write the correct answer in each of the following : 1. Point (–3, 5) lies in the (A) first quadrant (B) second quadrant
you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven
A. w= -22 so A has a negative solution.
D doesn't have a variable so I'm not sure about it (did you type it correctly?), but because only one side of the equation has a negative number, I'm guessing D is also a negative solution