ame the quadrant in which the point lies :(i) A(1, 1) (ii) (–2, –4) (iii) C(1, –2)
Question
Name the quadrant in which the point lies:
- A(1, 1)
- (-2, -4)
- C(1, -2)
Solution
1. Break Down the Problem
To determine the quadrant in which each point lies, we need to analyze their coordinates:
- Quadrant I:
- Quadrant II:
- Quadrant III:
- Quadrant IV:
2. Relevant Concepts
The signs of the (first value) and (second value) coordinates dictate the quadrant placement.
3. Analysis and Detail
(i) For point A(1, 1):
- (positive)
- (positive)
Conclusion: Point A lies in Quadrant I.
(ii) For point (–2, –4):
- (negative)
- (negative)
Conclusion: This point lies in Quadrant III.
(iii) For point C(1, –2):
- (positive)
- (negative)
Conclusion: Point C lies in Quadrant IV.
4. Verify and Summarize
After analyzing each point based on their coordinates, we confirm the quadrant placements:
- A(1, 1) is in Quadrant I.
- (–2, –4) is in Quadrant III.
- C(1, –2) is in Quadrant IV.
Final Answer
- A(1, 1): Quadrant I
- (–2, –4): Quadrant III
- C(1, –2): Quadrant IV
Similar Questions
ame the quadrant in which the point lies :(i) A(1, 1) (ii) (–2, –4) (iii) C(1, –2)
Ques 1 The point on X-axis which is equidistant from the points (2, -2) and (-4,2) is(a) (1,0) (b) (2,0) (c) (0,2) (d) (-1,0)
Which one of the following is NOT a coordinate of the unit square in the first quadrant?Question 2Answera.(1, 0)b.(0, 1)c.(-1, -1)d.(1, 1)
The image of the point (-4, 3) under a rotation of 90° (counterclockwise) centered at the origin is ______. Answer in (x, y) format.
The figure created by plotting the points A(5 ,-1), B(2, 2), C(-4, -1) and D(2, -4) is a ________.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.