Question

The point (x, y) is equidistant from the points (3, 6) and (−3, 4). The relation between x and y is ______.

Options

• 3x − y = 5

• 3x − y − 5 = 0

• y − 3x = 0

• 3x + y = 5

Answer 1

The point (x, y) is equidistant from the points (3, 6) and (−3, 4). The relation between x and y is 3x + y = 5.

Explanation:

Equating the squared distances gives \[(x-3)^2+(y-6)^2=(x+3)^2+(y-4)^2.\] On simplifying, 3x + y = 5. Hence, option (iv) is correct.