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Q.

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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a

I and II

b

I and III

c

II and III

d

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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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: