Question

What is the form of a point lying on y-axis ?

• A. (y, 0)
• B. (2, y)
• C. (0, x)
• D. None of these

Hint:

Remember: On the y-axis, x is always zero. On the x-axis, y is always zero. This is a fundamental concept in coordinate geometry.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
The y-axis is the vertical line on the Cartesian plane where the value of the x-coordinate is always zero. A point lying on this axis will have no horizontal displacement from the origin.

Step 2: Detailed Explanation:
For any point to be on the y-axis, its x-coordinate must be 0. The y-coordinate can be any real number.
Thus, the general form of a point on the y-axis is \((0, y)\), where \(y\) can be any value.
Let's check the options:
(A) (y, 0): This represents a point on the x-axis, as its y-coordinate is 0.
(B) (2, y): This represents a point on the vertical line \(x=2\), which is parallel to the y-axis but not the y-axis itself.
(C) (0, x): This represents a point where the x-coordinate is 0 and the y-coordinate is some variable value (represented here by the letter 'x'). This matches the required form \((0, \text{any value})\).

Step 3: Final Answer:
The form of a point lying on the y-axis is (0, any number). Option (C) represents this form, using 'x' as the variable for the y-coordinate. Therefore, (0, x) is the correct answer.