Question

In given figure $C$ is centre of circle. $AO$ and $BO$ are tangents to circle. $CM\perp AB$.

If $AC=AB=6cm$, then find the relation between $△ACO$ and $△BCO$.

• A. Both are congruent
• B. Both are incongruent
• C. Can't say
• D. None of the above

Answer 1

The correct option is A Both are congruent

In $△ACO$ and $△BCO$,

$AC=BC$ ...[radii of the same circle]

$AO=BO$ ....[Tangents from an external point are equal.]

$CO=CO$ ...[Common side]

$△ACO\cong △BCO$ ....[SSS test.]