C-08-Q177mediumsingle_mcq

Two tangents $AB$ and $AC$ are drawn from $A$ to a circle with centre $O$ such that $\angle BAC = 60^{\circ}$ . The value of $\angle BOC$ is—

a $30^{\circ}$
b $90^{\circ}$
c $120^{\circ}$
d $150^{\circ}$

ব্যাখ্যা

The radii to the points of contact make right angles with the tangents, so in quadrilateral $OBAC$ the angles at $B$ and $C$ are each $90^{\circ}$ . Hence $\angle BOC = 360^{\circ} - 90^{\circ} - 90^{\circ} - 60^{\circ} = 120^{\circ}$ .

এই অধ্যায়ের আরও প্রশ্ন

Circle — সব প্রশ্ন দেখুন (231টি) →

Two tangents $AB$ and $AC$ are drawn from $A$ to a circle with centre $O$ such that $\angle BAC = 60^{\circ}$ . The value of $\angle BOC$ is—

30^{\circ}

90^{\circ}

120^{\circ}

150^{\circ}

Two tangents ABABAB and ACACAC are drawn from AAA to a circle with centre OOO such that ∠BAC=60∘\angle BAC = 60^{\circ}∠BAC=60∘. The value of ∠BOC\angle BOC∠BOC is—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

Two tangents ABABAB and ACACAC are drawn from AAA to a circle with centre OOO such that ∠BAC=60∘\angle BAC = 60^{\circ}∠BAC=60∘. The value of ∠BOC\angle BOC∠BOC is—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

Two tangents $AB$ and $AC$ are drawn from $A$ to a circle with centre $O$ such that $\angle BAC = 60^{\circ}$ . The value of $\angle BOC$ is—

Two tangents $AB$ and $AC$ are drawn from $A$ to a circle with centre $O$ such that $\angle BAC = 60^{\circ}$ . The value of $\angle BOC$ is—