At one end of diameter AB of a circle of radius 13 cm, tangents XAY is drawn to the circle. The length of the chord CD parallel t XY and at a distance 18 cm from A is
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At one end of diameter AB of a circle of radius 13 cm, tangents XAY is drawn to the circle. The length of the chord CD parallel t XY and at a distance 18 cm from A is
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CD is parallel to XY
OA and OE are perpendicular to XAY and CED respectively
<OAY=90°=<OED
<OED + <OEC = 180° [supplementary angle]
<OEC = 90°
Hence OEC is right ∆
radius = 13 cm
OA = OC =13 cm[ radii of the circle]
AE = 18cm
OE = 18-13= 5cm
EC = √13^2-5^2[Pythagoras theorem]
EC=12cm
Chord DC=12×2=24cm
ans is 24 cm
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