Y = 0 is theA.Equation of x-axisB.Equation of y-axisC.Both A & BD.None of these
Question
Y = 0 is the
- A. Equation of x-axis
- B. Equation of y-axis
- C. Both A & B
- D. None of these
Solution
Understanding the Equation
The equation represents all points on the coordinate plane where the -coordinate is zero. This implies that every point along this line has the form .
Analyzing the Options
-
Equation of x-axis: The set of points where corresponds to the x-axis, where the y-coordinate is zero for all values of . Thus, this statement is correct.
-
Equation of y-axis: The y-axis is represented by , where the x-coordinate is zero for all values of . Therefore, this statement is incorrect.
-
Both A & B: Since only option A is correct, this statement is also incorrect.
-
None of these: This is incorrect since option A is valid.
Final Answer
Thus, the correct answer is A. Equation of x-axis.
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