Question

Which point on x-axis is equidistant from the points A(7, 6) and B(–3, 4)?

विकल्प

• (0, 4)

• (–4, 0)

• (3, 0)

• (0, 3)

Answer 1

(3, 0)

Explanation:

Let P(x, 0).

Equate squared distances:

(x – 7)² + (0 – 6)² = (x + 3)² + (0 – 4)²

⇒ (x – 7)² + 36 = (x + 3)² + 16

⇒ x² – 14x + 85 = x² + 6x + 25

⇒ –20x = –60

⇒ x = 3

So, P = (3, 0).