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Question

In the diagram MN is a straight line on a Cartesian plane. The coordinates of N are (12,13) and MN2=9 units. The coordinates of M are:
516871_b6b564381d7b4789bf82b1269a59fe51.png

A
(21,13)
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B
(12,22)
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C
(12,4)
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D
(3,13)
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Solution

The correct option is D (3,13)
(As MN is parallel to 'x' axis \therefore 'y' coordinate not change)
Let M=(x,13)
6(x12)2+(1313)2=9
(x12)2=92x+12=±9
x=3,21 (As 'M' is left of N )
x=3

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