State whether the following statement is true or false.

If the ordinate of a point is equal to its abscissa; then justify the statement that the point lies either in the first quadrant or in the second quadrant.

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept- You must first establish the coordinates in order to solve this problem, and then you must look for the location where the ordinate and abscissa are equal.
The x and y coordinates have the same value and sign when the ordinate and abscissa are equal.
Question Image

The preceding diagram makes it abundantly evident that the first and fourth quadrants' x and y coordinates share the same sign, making this the only circumstance under which they may both have the same value.
As a result, it is incorrect to say that the ordinate and abscissa are equal in the second quadrant. However, it is possible for both numbers in the first quadrant to be the same.
Hence, the given statement is true.

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