1. Which quadrant does the point (-3, 4) lie in?
Answer:
Explanation:
In the II quadrant, x is negative and y is positive.
2. The coordinates of the origin are:
Answer:
Explanation:
The origin is the point where the x and y axes intersect.
3. If a point lies on the x-axis, then its y-coordinate is:
Answer:
Explanation:
Points on the x-axis have a y-coordinate of 0.
4. What are the coordinates of the point which is 5 units to the left of the origin?
Answer:
Explanation:
Moving 5 units to the left of the origin results in the point (-5, 0).
5. The distance between the points (2,3) and (2,5) is:
Answer:
Explanation:
The x-coordinates are the same, so the distance is the difference in the y-coordinates, which is 5-3 = 2.
6. Which of the following points lies on the y-axis?
Answer:
Explanation:
Points on the y-axis have an x-coordinate of 0.
7. If the abscissa of a point is negative and its ordinate is negative, then the point lies in which quadrant?
Answer:
Explanation:
In the III quadrant, both x and y are negative.
8. Which point is the reflection of the point (5, 6) on the x-axis?
Answer:
Explanation:
The reflection on the x-axis changes the sign of the y-coordinate.
9. The coordinates of the midpoint of the segment joining the points (4,3) and (6,5) are:
Answer:
Explanation:
Midpoint's x-coordinate = (4+6)/2 = 5 and y-coordinate = (3+5)/2 = 4.
10. Which point is equidistant from (3,4) and (-3,-4)?
Answer:
Explanation:
The midpoint between the two points is the origin (0, 0).
11. The distance between two points (a,b) and (c,d) is given by:
Answer:
Explanation:
By the distance formula.
12. If the point (x,y) lies in the IV quadrant, then:
Answer:
Explanation:
In the IV quadrant, x is positive and y is negative.
13. The point which divides the line segment joining the points (4,3) and (8,7) in the ratio 2:1 internally is:
Answer:
Explanation:
Using the section formula.
14. If P(x1, y1) and Q(x2, y2) are two points, then the slope of the line passing through these points is given by:
Answer:
Explanation:
Slope formula.
15. A line with undefined slope is:
Answer:
Explanation:
A vertical line has an undefined slope as the difference in x-coordinates (denominator) is zero.
16. If the slope of a line is 0, then the line is:
Answer:
Explanation:
A horizontal line has a slope of 0.
17. The coordinates of the foot of the perpendicular from the point (2,3) to the x-axis are:
Answer:
Explanation:
The foot of the perpendicular will lie on the x-axis and will have the same x-coordinate.
18. Which point does not lie on the line y = 2x + 3?
Answer:
Explanation:
Substituting x=2 in y = 2x + 3 gives y = 7, which is not on the line.
19. The equation of the x-axis is:
Answer:
Explanation:
All points on the x-axis have y-coordinate as 0.
20. The equation of the line passing through the point (3,2) and having a slope of 2 is:
Answer:
Explanation:
Using the point-slope form y – y1 = m(x – x1).