Question

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

Answer 1

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).