2023 · Q80
Item contains a Question followed by two Statements. Answer each item using the following instructions : A chord PQ of the circle C divides it into two segments such that 3 times the area of the major segment is 4 times the area of the minor segment. Question : What is the radius of C?
Statement IArea of the minor segment is 66 square cm.
Statement IIArea of the major segment is 88 square cm.
Elementary MathematicsCircles
- AChoose this option if the Question can be answered by one of the Statements alone but not by the other.
- BChoose this option if the Question can be answered by either Statement alone.
- CChoose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- DChoose this option if the Question cannot be answered even by using both Statements together.
Explanation
From 3 × major = 4 × minor with major + minor = total area T, we get minor = 3T/7 and major = 4T/7. Statement I (minor = 66) fixes T = 154 and hence the radius alone. Statement II (major = 88) likewise fixes T = 154 alone. Either statement suffices (B).