Maths Rectangular Cartesian Co-ordinates Questions Related to Geometrical Conditions Single Correct MCQ
Published on: August 14, 2026

The set of points P(x, y) such that their distance from (3, 0) is √ 2 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

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Text Solution

Verified by Experts
The correct answer is:
A

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 =

= > 5

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