C-08-Q176mediumsingle_mcq

Two tangents $PA$ and $PB$ are drawn from $P$ to a circle. If $\angle APB = 60^{\circ}$ and centre is $O$ , then $\angle AOB$ equals—

a $60^{\circ}$
b $90^{\circ}$
c $120^{\circ}$
d $180^{\circ}$

ব্যাখ্যা

In quadrilateral $OAPB$ , the angles at $A$ and $B$ are each $90^{\circ}$ , and the four angles sum to $360^{\circ}$ . So $\angle AOB = 360^{\circ} - 90^{\circ} - 90^{\circ} - 60^{\circ} = 120^{\circ}$ .

এই অধ্যায়ের আরও প্রশ্ন

C-08-Q177Two tangents and are drawn from to a circle with centre such that . The value of is—
C-08-Q178Theorem 27: if two circles touch each other externally, the point of contact and the two centres are—
C-08-Q179The proof of Theorem 27 uses the fact that at the point of contact—
C-08-Q180Since right angle, at the point of contact is a—
C-08-Q181Corollary 11: if two circles touch each other externally, the distance between their centres equals—
C-08-Q182Corollary 12: if two circles touch each other internally, the distance between their centres equals—
C-08-Q183The Work box accompanying Theorem 27 asks to prove that, for circles touching internally, the point of contact
C-08-Q184Two circles of radii cm and cm touch externally. The distance between their centres is—
C-08-Q185Two circles of radii cm and cm touch internally. The distance between their centres is—
C-08-Q186From an external point , two tangents are drawn to a circle with centre . Then is the perpendicular bisector o

Circle — সব প্রশ্ন দেখুন (231টি) →

Two tangents $PA$ and $PB$ are drawn from $P$ to a circle. If $\angle APB = 60^{\circ}$ and centre is $O$ , then $\angle AOB$ equals—

60^{\circ}

90^{\circ}

120^{\circ}

180^{\circ}

Two tangents PAPAPA and PBPBPB are drawn from PPP to a circle. If ∠APB=60∘\angle APB = 60^{\circ}∠APB=60∘ and centre is OOO, then ∠AOB\angle AOB∠AOB equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

Two tangents PAPAPA and PBPBPB are drawn from PPP to a circle. If ∠APB=60∘\angle APB = 60^{\circ}∠APB=60∘ and centre is OOO, then ∠AOB\angle AOB∠AOB equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

Two tangents $PA$ and $PB$ are drawn from $P$ to a circle. If $\angle APB = 60^{\circ}$ and centre is $O$ , then $\angle AOB$ equals—

Two tangents $PA$ and $PB$ are drawn from $P$ to a circle. If $\angle APB = 60^{\circ}$ and centre is $O$ , then $\angle AOB$ equals—