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Question

Which of the following is a linear equation in one variable?
(i) 0x+0=0
(ii) 4y2+5=0
(iii) 2x1=0
(iv) xy+x1=0


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Solution

By the definition,
(i) ax+b=c, In this form of the linear equation a should not be equal to zero. So, 0x+0=0 is not a linear equation in one variable.

(ii) Highest power of the variable in the given equation 4y2+5=0 is 2. So, 4y2+5=0 is not a linear equation in one variable.

(iii) The given equation 2x1=0 resembles the standard form of linear equation in one variable.

(iv) The given equation xy+x1=0 contains two variables. So, xy+x1=0 is not a linear equation in one variable.


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