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Here we will discuss some theorems on chord and subtended angle.1) OL ⊥ AB ⇒ AL = 1/2AB | 1) OM ⊥ CD ⇒ CM = 1/2CD |
2) AB = CD | 2) Given |
3) 1/2 AB = 1/2 CD | 3) Given |
4) AL = CM | 4) From AB = CD |
5) OA = OC | 5) Equal radius of the circle |
6) AL = CM | 6) From (4 ) |
7) ∠ALO = ∠CMO | 7) Each 900 |
8) OL = OM | 8) CPCTC |
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1) AB = CD | 1) Given |
2) OA = OC | 2) Radius of same circle |
3) OB = OD | 3) Radius of same circle |
4) ΔAOB = ΔCOD | 4) SSS Postulate |
5) ∠AOB = ∠COD | 5) CPCTC |
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1) ∠POQ = 2∠PRQ | 1) Given |
2) ∠POQ = 2∠PSQ | 2) Given |
3) 2∠PRQ = 2∠PSQ | 3) From (1) and (2) |
4) ∴ ∠PRQ = ∠PSQ | 4) From (3) |
5) Reflex ∠POQ = 2∠PRQ and Reflex ∠POQ = 2∠PSQ | 5) From the diagram |
6) 2∠PRQ = 2∠PSQ | 6) From the diagram |
7) ∠PRQ = ∠PSQ | 7) From (6) |
Russia-Ukraine crisis update - 3rd Mar 2022
The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.