Hint: Determine the x & y co-ordinate of a point from a graph in order to write the co-ordinates of the point as an ordered pair.

Question.1. What is the coordinate of the point P shown on the coordinate grid?cbe-questions-maths-class-9-ch-3-q-1

(a) (4, 5)
(b) (–4, 5)
(c) (5, 4)
(d) (5, –4)

Question.2. The perpendicular distance of the point A (m, 2n) from the x-axis is 6 units. Given that m<0 and n>0, which of these represents the point B with coordinates (n+1, m)?

(a) cbe-questions-maths-class-9-ch-3-q-2-a(b) cbe-questions-maths-class-9-ch-3-q-2-b(c) cbe-questions-maths-class-9-ch-3-q-2-c(d) cbe-questions-maths-class-9-ch-3-q-2-d

Ans.1. (a) (4, 5)
Ans.2. (c) cbe-questions-maths-class-9-ch-3-q-2-c

Hint: Plot a point on the Cartesian plane in order to determine QUADRANT of the point.

Question.3. A point P (a, b) is such that: a<0, b>0. In which quadrant does the point P lie?

(a) First Quadrant
(b) Second Quadrant
(c) Third Quadrant
(d) Fourth Quadrant

Question.4. The point R (2a+3, 2b+1) lies in the third quadrant, where a≠b. Which of these could be the point B with coordinates (a, b)?

(a) cbe-questions-maths-class-9-ch-3-q-4-a(b) cbe-questions-maths-class-9-ch-3-q-4-b(c) cbe-questions-maths-class-9-ch-3-q-4-c(d) cbe-questions-maths-class-9-ch-3-q-4-d

Ans.3. (b) Second Quadrant
Ans.4. (a) cbe-questions-maths-class-9-ch-3-q-4-a

Hint: Observe a given ordered pair in order to comment on its location.

Question.5. In which quadrant does the point (5, –7) lie?

(a) First Quadrant
(b) Second Quadrant
(c) Third Quadrant
(d) Fourth Quadrant

Question.6. The point A (k, k-2) lies in the first quadrant and the point does not lie on any of the axis. Another point M (m, 2m-5) is such that m is equal to the least possible integer value of k. Which of these statements is true?

(a) Point M lies in the first quadrant.
(b) Point M lies in the second quadrant.
(c) Point M lies in the third quadrant.
(d) Point M lies in the fourth quadrant.

Ans.5. (d) Fourth Quadrant
Ans.6. (a) Point M lies in the first quadrant.

Hint: Apply concepts of coordinate geometry in order to simplify given word problems.

Question.7. Amit’s school is 5 km to the west and 3 km north of his house. He represented his house and his school on a coordinate grid, with his house located at the origin, and the positive x-axis represent the direction that is east of his house. If 1 unit on the coordinated grid represents 1 km, what will be the coordinate of his school?

(a) (5,3)
(b) (3,5)
(c) (–5,3)
(d) (–3,5)

Question.8. Riya created a graph which represents the perimeter of squares for different side lengths. Which of these could be a point on the graph that she created?

(a) cbe-questions-maths-class-9-ch-3-q-8-a(b) cbe-questions-maths-class-9-ch-3-q-8-b(c) cbe-questions-maths-class-9-ch-3-q-8-c(d) cbe-questions-maths-class-9-ch-3-q-8-d

Ans.7. (c) (–5,3)
Ans.8. (d) cbe-questions-maths-class-9-ch-3-q-8-d

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