2025 · Q87
A Question is given followed by two Statements I and II.
Question: AB and CD are chords intersecting at P. If AP×PB=48, what is CP×PD?
Statement IAP=8.
Statement IICP=10.
Which one of the following is correct?
Elementary MathematicsCircles
- AThe Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
- BThe Question can be answered by using either Statement alone
- CThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
- DThe Question can be answered even without using any of the Statements
Explanation
For two chords intersecting inside a circle, AP*PB = CP*PD always holds. Hence CP*PD = 48 directly, with no statements needed. The specific lengths AP = 8 and CP = 10 are pure distractors.