Question

# Choose the correct statement(s) for the points A and B.

A
coordinates of points A and B are equal
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B
xcoordinate of point A is equal to ycoordinate of point B
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C
ycoordinate of point A is equal to xcoordinate of point B
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D
coordinates of point B are (0,5)
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Solution

## The correct option is D coordinates of point B are (0,5)Let's find the coordinates of point A: Step 1: Start at the origin. Step 2: Keep moving in the right direction until we are right under the point A. Now, we are 5 units away from the origin in the positive x−axis direction. ∴x−coordinate = 5. Step 3: Now point A is on the x−axis, y−coordinate is always zero for the point which is lying on the x−axis ∴y−coordinate = 0 Step 4: We write coordinates of any point in parentheses, where x−coordinate is the first and y−coordinate is the second. ∴ Coordinates of point A=(5,0) Similarly, coordinates of point B=(0,5) Clearly, coordinates of points A and B are not equal i.e. (5,0)≠(0,5) Also, x−coordinate of point A =y−coordinate of point B=5 Hence, options (b.) and (d.) are correct.

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