Question

The point on x-axis equidistance from A(2, – 5, 7) and B(1, 3, 6) is _____

(A) (– 16, 0, 0)

(B) (16, 0, 0)

(C) (6, 0, 0)

(D) none of these

Answer 1

The correct option (B) (16, 0, 0)   

Explanation:

Point on x-axis equidistant from A & B be P(x, 0, 0)

∴ AP² = PB²

∴ (x – 2)² + 25 + 49 = (x – 1)² + 9 + 36

∴ – 2x = – 3

⇒ x = 16

∴ Point is (16, 0, 0)