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Basic Properties of a Circle

In the follow...

Question

In the following figure, PQ is the tangent to the circle at A, DB is the diameter and O is the centre of the circle. If $∠ A D B = 30^{o}$ and $∠ C B D = 60^{o}$ , calculate :

(i) $∠$ QAB,

(ii) $∠$ PAD,

(iii) $∠$ CDB.

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Solution

PAQ is a tangent and AB is the chord.

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Similar questions

P Q

A, D B

O

∠ A D B = 30^{o} a n d ∠ C B D = 60^{o}

∠ Q A B

∠ P A D

∠ C D B

In the following figure, PQ and PR are tangents to the circle, with centre O. If $∠ Q P R = 60^{o}$ , calculate :

(i) $∠ Q O R,$
(ii) $∠ O Q R,$
(iii) $∠ Q S R,$

P Q

T, ∠ B T A = 45^{\circ} a n d ∠ P T B = 70^{\circ}

∠ A B T

O

P Q

R

∠ S T R

O

Δ A B C

∠ A D B

∠ A E B

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