Question

In the above diagram identify the points which are equidistant from point B.

• A. P and C
• B. A and C
• C. A and P
• D. P and D

Answer 1

Answer: (B), (D)

The correct options are
B A and C
D P and D

If points X and Y are equidistant from point Z then d(X, Z) = d(Y, Z).
In the given question point B is 2 so d(A, B) = 2 - 0 = 2 and d(C, B) = 4 - 2 = 2
$\therefore$ d(A, B) = d(B, C)

Hence, points A and C are equidistant from point B

Point B is 2 so d(P, B) = 2 - (-2) = 4 and d(D, B) = 6 - 2 = 4
$\therefore$ d(P, B) = d(D, B)

Hence, points P and D are also equidistant from point B