2010 · Q52
Let PAB be a secant to a circle intersecting at points A and B, and PC is a tangent. Which one of the following is correct?
[Figure: secant PAB to a circle with tangent PC from external point P]
Elementary MathematicsGeometry
- AThe area of rectangle with PA, PB as sides is equal to the area of square with PC as side
- BThe area of rectangle with PA, PC as sides is equal to the area of square with PB as side
- CThe area of rectangle with PC, PB as sides is equal to the area of square with PA as side
- DThe perimeter of rectangle with PA, PB as sides is equal to the perimeter of square with PC as side
Explanation
Secant-tangent theorem: PA·PB = PC².