Knowee
Questions
Features
Study Tools

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:

  1. A(1, 1)
  2. (-2, -4)
  3. C(1, -2)
🧐 Not the exact question you are looking for?Go ask a question

Solution

1. Break Down the Problem

To determine the quadrant in which each point lies, we need to analyze their coordinates:

  • Quadrant I: x>0,y>0 x > 0, y > 0
  • Quadrant II: x<0,y>0 x < 0, y > 0
  • Quadrant III: x<0,y<0 x < 0, y < 0
  • Quadrant IV: x>0,y<0 x > 0, y < 0

2. Relevant Concepts

The signs of the x x (first value) and y y (second value) coordinates dictate the quadrant placement.

3. Analysis and Detail

(i) For point A(1, 1):

  • x=1 x = 1 (positive)
  • y=1 y = 1 (positive)
    Conclusion: Point A lies in Quadrant I.

(ii) For point (–2, –4):

  • x=2 x = -2 (negative)
  • y=4 y = -4 (negative)
    Conclusion: This point lies in Quadrant III.

(iii) For point C(1, –2):

  • x=1 x = 1 (positive)
  • y=2 y = -2 (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

  1. A(1, 1): Quadrant I
  2. (–2, –4): Quadrant III
  3. C(1, –2): Quadrant IV

This problem has been solved

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 ________.

1/3

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.