2023 · Q113
What is the length of the radius of the circle that passes through the points (0, 0), (0, 3) and (2, 0)?
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- A2√3
- B2√5
- C(√11)/2
- D(√13)/2
Explanation
The points (0,0), (0,3) and (2,0) form a right angle at the origin, so the hypotenuse joining (0,3) to (2,0) is a diameter of the circle. Its length is sqrt(2^2 + 3^2) = sqrt(13), giving radius sqrt(13)/2. Hence D.