Question

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

• A. coordinates of points $A$ and $B$ are equal
• B. $x-$coordinate of point $A$ is equal to $y-$coordinate of point $B$
• C. $y-$coordinate of point $A$ is equal to $x-$coordinate of point $B$
• D. coordinates of point $B$ are $(0,5)$

Answer 1

Answer: (B), (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.
$\therefore x-$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
$\therefore y-$coordinate = 0

Step 4: We write coordinates of any point in parentheses, where $x-$coordinate is the first and $y-$coordinate is the second.
$\therefore$ 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. $(5,0)\ne (0,5)$

Also, $x-$coordinate of point $A$ $=y-$coordinate of point $B=5$

Hence, options (b.) and (d.) are correct.