A.(13,4)

B.(5,4)

C. (4,5)

D. (4,13)
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1 Answer

The opposite end of the diameter XY must be as far to the right of the y-axis as X is to the left, so the x coord of Y must be 4, because X is 4 units to the left (-4), and the centre of the circle is on the y-axis.

The y coord of Y is as far above y=4 as X is below y=4. X is 4-(-5)=9 units below y=4, so Y is 9 units above y=4, so y=13. 

The coords of Y are (4,13), answer D.

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