Question

The line joining the centre of a circle and the point from which two tangents are drawn bisects the angle between the tangents. State True or False.

• A. True
• B. False

Answer 1

The correct option is A True

In $\Delta OMEand\Delta ONE$,
OM = ON [Radius of the circle]
OE = OE [Common side]
ME = EN [Tangents are equal]
So, by S.S.S criterion,
$\Delta OME\cong \Delta ONE$
So, $\angle MEO=\angle NEO$
Hence OE bisects $\angle MEN$.