Question

read the instructions first and then answer. Answer the Guide question.

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Answer 1

$\large\underline{\sf{Solution-}}$

Answer - (a)

$\begin{gathered}\begin{gathered}\boxed{\begin{array}{c|c} \bf Linear & \bf Non - Linear\\ \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 2x - 3 = 0 & \sf {4m}^{2} - 10m = 0 \\ \\ \sf 3p + 1 = 20 & \sf {t}^{2} + 4t + 12 = 0 \\ \\ \sf 12w - 6 = 8 & \sf \: {y}^{2} + 3y = 2 \\ \\ \sf 3x + 9x + 1 = x + 3x & \sf {x}^{2} - 2x + 15 = 0 \\ \\ \sf & \sf 7 - 2r = {r}^{2} \\ \\ \sf & \sf {s}^{2} - 81 = 0 \\ \end{array}} \\ \end{gathered}\end{gathered}$

Answer (b)

Linear Equation :- The linear equation is an algebraic expression in which highest degree is one and graph results in a straight line.

Answer (c)

In above table, the equation on the right hand side are non linear equations as highest degree of all these equations is not one.

Answer (d)

These non linear equations are different from linear equations as the graph of non linear equations is not result in a straight line.

Answer (e)

They don't have any common characteristics as graph of a linear function is a straight line while non linear graph is not a straight line. Moreover, both represent equations as they have equality symbol.