2019 · Q88
Consider the following statements:
- 1The number of circles that can be drawn through three non-collinear points is infinity.
- 2Angle formed in minor segment of a circle is acute.
Which of the above statements is/are correct?
Elementary MathematicsCircles
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Exactly one circle passes through three non-collinear points, so statement 1 is false. An angle subtended in the minor segment exceeds 90° (it is obtuse), so statement 2 is false. Neither is correct.