Question

The set of points P(x, y) such that their distance from (3, 0) is Ö2 times their distance from (0, 2) form a circle-

• A. Whose radius is greater than 5 units
• B. Whose radius is equal to 5 units
• C. Whose radius is less than 5 units
• D. None of these

Answer 1

Answer: (A)

Whose radius is greater than 5 units

Answer 2

The prescribed condition gives

(x – 3)2 + y2 = 2 {x2 + (y – 2)2}

i.e., x2 + y2 + 6x – 8y – 1 = 0 which is a circle with centre

(–3, 4) and radius = $\sqrt{9 + 16 + 1}$

= $\sqrt{26}$ > 5