2023 · Q96
PQ and RS are chords on a circle centred at O. Suppose A is the point of intersection of PQ and RS. Which of the following statements is/are correct?
- 1If A and O coincide, then the four parts of the circle produced by the chords shall always have equal areas.
- 2If A and O do not coincide, then two of the four parts of the circle produced by the chords shall always have equal areas.
Select the correct answer using the code given below.
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Two diameters through O divide the circle into four sectors that are equal only when the diameters are perpendicular, not always, so statement 1 is wrong. With A distinct from O, the opposite segments are generally unequal, so statement 2 is also wrong. Hence neither, option D.