Graphical representation of plotted points for RD Sharma Class 9 Maths Exercise 11.1 Question 1.

The image you've uploaded is a page from RD Sharma Solutions for Class 9 Maths, Chapter 11: Coordinate Geometry, specifically Exercise 11.1, Question 1, which asks to plot given points on graph paper.

Let’s go through the problem and solution step by step, explaining how each point is plotted on the coordinate plane.

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🔷 Question:

Plot the following points on graph paper:

(i) (2,5)
(ii) (4,-3)
(iii) (-5,-7)
(iv) (7,-4)
(v) (-3,2)
(vi) (7,0)
(vii) (-4,0)
(viii) (0,7)
(ix) (0,-4)
(x) (0,0)

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✔ Understanding Coordinates

Each point is represented as an ordered pair: (x, y)

- The first number (x) is the horizontal coordinate (along the x-axis).
- The second number (y) is the vertical coordinate (along the y-axis).

To plot a point:
1. Start at the origin (0,0).
2. Move horizontally by the x-coordinate (right if positive, left if negative).
3. Then move vertically by the y-coordinate (up if positive, down if negative).

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📊 Step-by-step Plotting of Each Point:

#### (i) (2, 5)
- Move 2 units right → x = 2
- Move 5 units up → y = 5
- Plotted in the first quadrant

#### (ii) (4, -3)
- Move 4 units right → x = 4
- Move 3 units down → y = -3
- Plotted in the fourth quadrant

#### (iii) (-5, -7)
- Move 5 units left → x = -5
- Move 7 units down → y = -7
- Plotted in the third quadrant

#### (iv) (7, -4)
- Move 7 units right → x = 7
- Move 4 units down → y = -4
- Plotted in the fourth quadrant

#### (v) (-3, 2)
- Move 3 units left → x = -3
- Move 2 units up → y = 2
- Plotted in the second quadrant

#### (vi) (7, 0)
- Move 7 units right → x = 7
- y = 0 → stays on the x-axis
- Lies on the positive x-axis

#### (vii) (-4, 0)
- Move 4 units left → x = -4
- y = 0 → lies on the x-axis
- Lies on the negative x-axis

#### (viii) (0, 7)
- x = 0 → stays on the y-axis
- Move 7 units up → y = 7
- Lies on the positive y-axis

#### (ix) (0, -4)
- x = 0 → stays on the y-axis
- Move 4 units down → y = -4
- Lies on the negative y-axis

#### (x) (0, 0)
- This is the origin, where both axes meet.

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✔ Verification of the Graph:

Looking at the provided graph:
- All points are correctly plotted.
- Labels match their coordinates.
- Points lie in the correct quadrants or axes:
- (i), (v): Second and first quadrants
- (ii), (iv): Fourth quadrant
- (iii): Third quadrant
- (vi), (vii): On x-axis
- (viii), (ix): On y-axis
- (x): Origin

✔ The graph is accurate and matches the expected results.

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🎯 Summary:

This exercise reinforces understanding of:
- The Cartesian coordinate system
- How to interpret ordered pairs (x, y)
- Locating points based on signs of coordinates
- Identifying quadrants and axes

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✔ Final Answer:

All the points have been correctly plotted on the graph as shown in the solution.

> ✔️ Conclusion: The solution provided is accurate and complete. Each point has been placed correctly on the coordinate plane according to its (x, y) values.

Let me know if you'd like this explanation converted into a printable format or need help with plotting these manually!