**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?

(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) (b) (c) (d)

**Ans.3.** (b) Second Quadrant**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?

(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) (b) (c) (d)

**Ans.7.** (c) (–5,3)**Ans.8.** (d)