Question

Let OM and ON be perpendiculars drawn from the centre O of a circle to chords AB and CD respectively. If AB= 10 cm, then CD= .

• A. 10 cm
• B. 5 cm
• C. 2.5 cm
• D. 7.5 cm

Answer 1

The correct option is A 10 cm


From figure, it is clear that $OM\perp AB,ON\perp CD$ and OM=ON.
We know the property that the chords equidistant from the centre of a circle are equal in length.
$⟹AB=CD$
Thus, $CD=10\text{cm}.$