Question

Which of the equations listed below are linear equations?

1: C= 2pir
2: A= pir^2
3: V= 4/3pir^3

A equation 1 only
B equation 2 only
C equations 1 and 3

Answer 1

A is correct answer....

Answer 2

Answer: 1.
`C=2\pi r`

Explanation:

We know that a linear equation is a particular type of equation .

• It is an algebraic equation in which each term has an exponent of one.
• Its graph is a a straight line.

The given equations :

`1.\ \ C=2\pi r`

Here , variable = r (radius)

Since , the variable has exponent =1 , therefore it is a linear equation.

`2. A=\pi r^2`

Here , variable = r (radius)

Since , the variable has exponent =2 , therefore it is not a linear equation.

`2. V=(4)/(3)\pi r^3`

Here , variable = r (radius)

Since , the variable has exponent =3 , therefore it is not a linear equation.

Hence , the correct answer is
`C=2\pi r`.