Question

3. The coordinates of two points are A(-2, 6) and
B(9,3). Find the coordinates of the point C on
the x-axis such that AC = BC.

Answer 1

Answer:

Required coordinate of C=(-2+6)/2 and (6+3)/2

=2 and 9/2

Coordinate of C=(2,9/2)

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Answer 2

Answer:

C = (25/11, 0)

Step-by-step explanation:

C = (c,0)

 

If AC = BC, then √ [(c+2)2 + (0-6)2] = √ [(c-9)2+(0-3)2]

 

So, (c+2)2 + 36 = (c-9)2 + 9

 

c2 + 4c + 40 = c2 - 18c + 90

 

      4c + 40 = -18c + 90

 

             22c = 50      c = 50/22 = 25/11

 

C = (25/11, 0)