Class 9th Maths Ganita Manjari - Part I Chapter 1: Orienting Yourself: The Use of Coordinates Exercise 1: Exercise Set 1.1 Question 1 (iv) Solution

Question

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:

(iv) If B1 (0, 1.5) and B2 (0, 4) represent the ends of the bathroom door, is the bathroom door narrower or wider than the room door?

Coordinate plane showing Reiaan's room with the x-axis, y-axis, origin O, and labelled points D1, R1, B1, and B2. — Fig. 1.3: Coordinate plane showing Reiaan's room.

Accepted Answer

Find the width of the bathroom door using the y-coordinates of its two ends, B1 and B2.
 	ext{The y-coordinates of the two ends of the bathroom door are 1.5 and 4.}|||	ext{Therefore, the width is: 4 - 1.5 = 2.5 units.} Find the width of the room door using the x-coordinates of its two ends, D1 and R1.
 	ext{The x-coordinates of the two ends of the room door are 8 and 11.5.}|||	ext{Therefore, the width is: 11.5 - 8 = 3.5 units} Compare the widths of the two doors.
 {green}	extbf{Answer: The bathroom door is narrower than the room door.}|||	extbf{Reason: The room door is 3.5 units wide, whereas the bathroom door is 2.5 units wide. Since 2.5 < 3.5, the bathroom door is narrower than the room door.}{/green}

Question: 1 (iv)

Answer