Question

Which of the following is a linear equation :
a) x2+1 b) y+y2 c) 4 d) 1+z​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following is a linear equation :

a) x² + 1

b) y + y²

c) 4

d) 1 + z

CONCEPT TO BE IMPLEMENTED

LINEAR EQUATION

A linear equation is an algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one

REASON BEHIND THE NAME

If you plot the solutions of a linear equation in Cartesian Coordinate system the results in a straight line.

EVALUATION

CHECKING FOR OPTION (a)

Here the equation is x² + 1

So the variable is x

Since the highest power of x in the expression is 2

So it is not a linear equation

CHECKING FOR OPTION (b)

Here the equation is y + y²

So the variable is y

Since the highest power of y in the expression is 2

So it is not a linear equation

CHECKING FOR OPTION (c)

Here the equation is 4

It can be rewritten as

$\sf{4 = {x}^{0} }$

So the variable is x

Since the highest power of x in the expression is 0

So it is not a linear equation

CHECKING FOR OPTION (d)

Here the equation is 1 + z

So the variable is z

Since the highest power of z in the expression is 1

So it is a linear equation

FINAL ANSWER

Hence the correct option is (d) 1 + z

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Answer 2

Answer:

the answer is

d)1+z

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