NCERT Solutions Class 9 Maths Chapter 1 Orienting Yourself: The Use of Coordinates on Padhaiwise

NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 1 Orienting Yourself Exercise Set 1.1

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 9 Maths Chapter 1 — Exercise Set 1.1#

In this exercise you read positions of objects in Reiaan’s room from the Cartesian plane. A point $(x, y)$ lies $x$ units from the y-axis and $y$ units from the x-axis; the origin $O = (0, 0)$ is the bottom-left corner of the room and $1$ unit $= 1$ ft.

Fig. 1.3 shows Reiaan’s room with points OABC marking its corners. The x- and y-axes are marked in the figure. Point O is the origin. Referring to Fig. 1.3, answer the following questions: #

From the figure the relevant readings are: $O = (0, 0)$, $A = (12, 0)$, $B = (12, 10)$, $C = (0, 10)$, room door end-points $D_1 = (8, 0)$ and $R_1 = (11.5, 0)$, bathroom door end-points $B_1 = (0, 1.5)$ and $B_2 = (0, 4)$.

NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 1 Orienting Yourself Exercise Set 1.2

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 9 Maths Chapter 1 — Exercise Set 1.2#

In this exercise you extend the plane to include negative coordinates and plot points across all four quadrants. Distances between two axis-parallel points are found by subtracting the coordinates that differ; the four quadrants are numbered anticlockwise from the top-right.

On a graph sheet, mark the x-axis and y-axis and the origin O. Mark points from (−7, 0) to (13, 0) on the x-axis and from (0, −15) to (0, 12) on the y-axis. (Use the scale 1 cm = 1 unit.) Using Fig. 1.5, answer the given questions. #

The readings from Fig. 1.5 used below:

NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 1 Orienting Yourself End-of-Chapter Exercises

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 9 Maths Chapter 1 — End-of-Chapter Exercises#

These problems use everything from the chapter: quadrants, distances between points, midpoints and shapes on the Cartesian plane. Two results are used again and again:

Distance between $(x_1, y_1)$ and $(x_2, y_2)$:
$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$
Midpoint of the segment joining them:
$$M = \left(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\right)$$

1. What are the x-coordinate and y-coordinate of the point of intersection of the two axes? #

Solution

The two axes meet at the origin $O$. The origin is 0 units from both axes.