Q. 11
Question
True or False The point lies in quadrant IV of the Cartesian plane.
Step-by-Step Solution
Verified Answer
The given statement is false.
1Step 1. Given information.
The given statement is:
The point lies in quadrant IV of the Cartesian plane.
We need to check whether the given statement is true or false.
2Step 2. Determine whether the statement is true or false.
In quadrant I, both coordinates are positive.
In quadrant II, the x-coordinate is negative and the y-coordinate is positive.
In quadrant III, both coordinates are negative.
In quadrant IV, the x-coordinate is positive and the y-coordinate is negative.
In the point , the x-coordinate is negative and the y-coordinate is positive. It means the point lies in quadrant II.
3Step 3. Conclusion.
The given statement is false.
Other exercises in this chapter
Q. 9
If three distinct points P, Q, and R all lie on a line and if d(P,Q)=d(Q,R), then Q is called the _________ of the line segment from P to R.
View solution Q. 10
True or False The distance between two points is sometimes a negative number.
View solution Q. 12
True or False The midpoint of a line segment is found by averaging the x-coordinates and averaging the y-coordinates of the endpoints.
View solution Q. 13
In Problems 13 and 14, plot each point in the xy-plane. Tell in which quadrant or on what coordinate axis each point lies.(a) A(-3,2)(b) B(6,0)(c)
View solution