Ex.15.3 Q2 Introduction to Graphs Solutions - NCERT Maths Class 8

Go back to  'Ex.15.3'

Question

Draw a graph for the following.

(i)

Side of square (in \(\rm{cm}\))

\(2\)

\(3\)

\(3.5\)

\(5\)

\(6\)

Perimeter (in \(\rm{cm}\))

\(8\)

\(12\)

\(14\)

\(20\)

\(24\)

Is it a linear graph?

(ii)

Side of square (in \(\rm{cm}\))

\(2\)

\(3\)

\(4\)

\(5\)

\(6\)

Area (in \(\rm{cm}^2\))

\(4\)

\(9\)

\(16\)

\(25\)

\(36\)

Is it a linear graph?

Text Solution

Reasoning:

A line graph which is a whole unbroken line is called a linear graph.

Steps:

(i) Choosing a suitable scale,

For \(x\)-axis, \(2\) unit \(= 1\, \rm{cm}\) and for \(y\)-axis, \(2\) unit \(= 5\, \rm{cm}\)

We can represent the side of a square on \(x\)-axis and the perimeter of that square on \(y\)-axis. A graph of the given data is drawn as follows.

It is a linear graph.

(ii) Choosing a suitable scale,

For x-axis, \(2\) unit \(= 1 \,\rm{cm}\) and for \(y\)-axis, \(2\) unit \(= 5\;\rm{cm}\)

We can represent the side of a square on the x-axis and the area of that square on \(y\)-axis. A graph of the given data is as follows.

It is not a linear graph.

  
Learn from the best math teachers and top your exams

  • Live one on one classroom and doubt clearing
  • Practice worksheets in and after class for conceptual clarity
  • Personalized curriculum to keep up with school