Find all points having a y-coordinate of -3 whose distance from the point (1,2) is 13.

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llltkl | College Teacher | (Level 3) Valedictorian

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Let the x-coordinates of such point/s be x, the distance of this point from the point (1,2) is 13.

From the distance formula

`sqrt((x-1)^2+(-3-2)^2)=13`

`rArr (x-1)^2+25=169`

`rArr (x-1)^2=169-25=144`

`rArr (x-1)=+-12`

`x=13, -11`

Therefore, the points having y coordinate -3, which are at a distance of 13 units from (1, 2) are: (13, -3) and (-11, -3).

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