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mars1129 [50]
3 years ago
7

Find all points having an x coordinate of 5 whose distance from the point (2,2) is 5.

Mathematics
1 answer:
stepan [7]3 years ago
5 0

Answer:

(5,6) , (5,-2)

Step-by-step explanation:

Let the required point be P(5,y).

Its distance from (2,2) is 5 units.

So, (5-2)^{2} + (y-2)^{2} = 25.

So, 3^{2} +  (y-2)^{2} = 25.

  9 +  (y-2)^{2} = 25.

   (y-2)^{2} = 16

    Two cases are possible for now

case 1 : y-2 = 4 .

            y = 6

required point will be (5,6)

case 2 : y - 2 = -4.

              y = -2.

required point will be (5,-2).

Two points are possible : (5,6) , (5,-2).

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