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1.

Plot the following points on a graph sheet. Verify if they lie on a line (a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5) (b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4) (c) K(2, 3), L(5, 3), M(5, 5), N(2, 5)

Answer» 1) yes, this is a line
2) yes, this is a line
3) no, this is not a line. This is a square.
Discussion
2.

Draw a graph for the following. (i) Side of square (in cm) `2, 3,3.5,5,6` and Perimeter (in cm) `8, 12, 14, 20, 24` Is it a linear graph ? (ii) Side of square (in cm) `2, 3, 4, 5, 6` and Area (in cm) `4, 9, 16, 25, 36` Is it a linear graph ?

Answer» After plotting the points on the graph
1)Yes, it is a linear graph
2) No, it is not a linear graph.
Discussion
3.

(A graph on “performance”)The given graph (Fig 15.7) represents the total runs scored by two batsmen A and B, during each of the ten different matches in the year 2007. Study the graph and answer the following questions.(i)     What information is given on the two axes?(ii)    Which line shows the runs scored by batsman A?(iii)   Were the run scored by them same in any match in 2007? If so, in which match?(iv)   Among the two batsmen, who is steadier? How do you judge it?

Answer» 1)X-axis=Number of matches
Y-axis=Runs scored
2)dotted lines
3)Match 4 scored 60 runs.
4)it can be judge from average of both the batsman.
Discussion
4.

Write the coordinates of the vertices of each of these adjoining figures.

Answer» If we look at the graph, coordinates of vertices for each point can ve given as:
`O : (0,0)`
`A : (2,0)`
`B : (2,3)`
`C : (0,3)`
`P : (4,3)`
`Q : (6,1)`
`R : (6,5)`
`S : (4,7)`
`M : (10,8)`
`L : (7,7)`
`K : (10,5)`.
Discussion