Question

in the figure point B(0,2b) lies on y axis and A(2a,0) lies on x axis c is the midpoint of AB find the coordinates of C and hence using distance formula show C is the equidistant from points B,O and A

Answer 1

Step-by-step explanation:

Coordinates of C are (a, b)

Given,

          A = (2a, 0) B = (0, 2b)

C is midpoint of AB.

Coordinates of C are given by

               

                   

Next part is to prove that C is equidistant from O, A and B

Distance formula is given by

Calculating OC, AC, BC, we get

             

Since OC = AC = BC, it shows that C is equidistant from B, O, A.

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