Introduction to Graphs-Sample Questions

1.   Draw the points (5, 4) and (4, 5). Do they represent the same point?

2.   Draw a line passing through (2, 1) and (1, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.

3.   Draw the graph for the following table of values of time (in hours) and distances (in km) covered by a car.

        Time (in hours)        7:00        8:00        9:00        10:00

        Distance (in km)        60          120         180           240

        From the graph, find:

        (i) The distance covered by the car during the period 7:00 to 8:00.

        (ii) At what time the car would have covered 180 km?

4.   Find the coordinates of the vertices of ��ABC given in graph. Draw a triangle by taking vertices as A(5, 2), B(1, 2) and C(1, 5).

5.   Following graph describes the movement of a car from a town A to town D. Study the graph a l answer the following questions:

        (i) What is the distance between town A and town D?

        (ii) What did the car start from town A?

        (iii) Where did the car stop and for what duration?

        (iv) How long did it take to go from town C to town D?

6.   Read the following `time-temperature' graph of a place and answer the questions given below.

        (i) What was the temperature at 7 a.m.?

        (ii) When the temperature was maximum?

        (iii) When was the temperature 40°C?

        (iv) During which period, the temperature remained constant?