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NCERT Class 9 Mathematics Exercise Set 1.1 Solutions: Orienting Yourself: The Use of Coordinates
AI-written, checked on 23 Oct 2026
Solutions written by Shishya, checked — not the board's official answers
Step-by-step working for every question of Exercise Set 1.1 in NCERT's Class 9 Mathematics book, chapter “Orienting Yourself: The Use of Coordinates”, written by Shishya. Each question is in our own short words; open the NCERT chapter for the exact wording and figures.
How these were checked: the solutions were drafted with AI and then read and corrected on 23 Oct 2026. Every numerical final answer is recomputed from the question's own numbers by a calculator check that runs before each release; proofs and explanations were read, not machine-checked. The NCERT textbook is the authority — if something here disagrees with it, follow the book.
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Ex 1.1 Q1
Reiaan's room (Fig. 1.3, 1 unit = 1 ft, O at the bottom-left corner; door D₁R₁ on the x-axis with D₁ at the 8 mark): (i) how far is the door from the y-axis and from the x-axis? (ii) coordinates of D₁? (iii) if R₁ = (11.5, 0), how wide is the door, and is that comfortable, also for a wheelchair? (iv) bathroom door from B₁ (0, 1.5) to B₂ (0, 4): narrower or wider than the room door?
Uses a figure printed in the NCERT book — open the chapter above to see it.
- (i) The door D₁R₁ lies on the x-axis, so its distance from the x-axis is 0 ft.
- (i) The point D₁ is at the 8 mark on the x-axis, so its distance from the y-axis is 8 ft.
- (ii) Since D₁ is on the x-axis at the 8 mark, its coordinates are (8, 0).
- (iii) The width of the door is the distance between D₁(8, 0) and R₁(11.5, 0).
- (iii) Width = 11.5 − 8 = 3.5 ft.
- (iii) 3.5 ft is about 107 cm. Accessibility guidelines usually ask for a clear door width of at least about 90 cm (about 3 ft), so this door is comfortable and a wheelchair user can pass through it easily.
- (iv) The bathroom door is from B₁(0, 1.5) to B₂(0, 4).
- (iv) The width of the bathroom door is 4 − 1.5 = 2.5 ft.
- (iv) Comparing the widths, 2.5 ft is less than 3.5 ft, so the bathroom door is narrower.
Answer: (i) 8 ft from y-axis, 0 ft from x-axis; (ii) (8, 0); (iii) 3.5 ft, yes; (iv) 2.5 ft, narrower
Other exercises in this chapter
- Exercise Set 1.2 — 4 questions
- End-of-chapter exercises — 16 questions
← Orienting Yourself: The Use of Coordinates: notes, practice and all exercises
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