Question

Two tangent segments BC, BD are drawn to a circle C (O, r) such that $\angle DBC={120}^0$. then $BO=BC$.

• A. True
• B. False

Answer 1

The correct option is B False

Given,

$\angle DBC={120}^{\circ }$

we got two angle $OBC$ AND $OBD$

$\angle ODB=\angle OCB$ (A Tangent drawn is perpendicular to the radius)

Applying pythagoras theorme

We get $O{B}^2=O{C}^2+C{B}^2$,

$O{B}^2=O{D}^2+B{D}^2$

$⟹OB=2BD$

OR

$⟹OB=2BC$