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?

(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) (b) (c) (d)

Ans.1. (a) (4, 5)
Ans.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?

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) (b) (c) (d)

Ans.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?

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.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) (b) (c) (d)

Ans.7. (c) (–5,3)
Ans.8. (d)