Consider the following two statements:
Statement-1: An equation of the form , where and are real numbers, such that and are variables and are constants is called linear equation in two variables.
Statement-2: The graph is a straight line parallel to the -axis.
Which of the following is correct?
Both statements 1 and 2 are false.
Explanation for the correct option:
Analysing the given two statements:
Let's consider the statement-,
As we can see , involves three variables and so it is called linear equation in three variables.
And hence, the equation of the form cannot be called linear equation in two variables.
Hence, statement- is false.
Let's consider the statement-,
We know that, the graph of is a straight line parallel to - axis and the graph of is a straight line parallel to - axis
Here the given statement is, the graph is a straight line parallel to the -axis.
Therefore, statement- is also false.
Hence, we conclude that, since both the statements are false, the correct answer is option D.