-
In a circle of radius 17 cm, two parallel chords of length 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is
-
- 9 cm
- 7 cm
- 23 cm
- 11 cm
- 9 cm
Correct Option: B
As per the given in question , we draw a figure circle with centre O 
From figure , AE = 15 cm [∵AB = 30 cm]
OA = 17 cm
∴ OE = √17² - 15²
OE = √(17 + 15)(17 - 15)
OE = √32 × 2 = 8 cm
Again, CF = 8 cm
OC = 17 cm
∴ OF = √17² - 8²
OF = √(17 + 8)(17 - 8)
OF = √25 × 9 = 15 cm
∴ Distance between chords = EF = OF - CF = 15 – 8 = 7 cm
