Consider the three statements given below:

I. Any point on x-axis is of the form (a, 0).

II. Any point on y-axis is of the form (0, b).

III. The point P(3,3) lies on both the axes.

The correct statements are:

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I and II

I and III

II and III

III only

answer is A.

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Detailed Solution

Given 3 statements.
I. Any point on x-axis is of the form (a, 0).
II. Any point on y-axis is of the form (0, b).
III. The point P (3,3) lies on both the axes.
The statements I and II are correct.
On x-axis the y coordinate is 0 and on y-axis the x coordinate is 0.
Therefore, both statement I and II is correct.
Now, for statement III the point is P (3, 3).
As, it lies on x-y plane and not on axes.
Therefore, statement III is false.
Hence, only statement I and II is correct.
Therefore, option 1 is correct.

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