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8.1.15

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       Draw a circle and a tangent TAS meeting it at A. Draw a chord AB making m ∠ TAS = 60• and another chord BC // TS. Prove that Δ ABC is equilateral.  Given :   :  a tangent TAS meeting at A                   m ∠ TAS = 60°                   BC // TS To Prove :     : Δ ABC is equilateral Proof :    : In θO                   ∠ C = ∠ TAS ( ∵ Theorem 4)                    ∠ C = 60°                    ∠C = ∠ SAC ( ∵ BC // TS )                   ∴  ∠ SAC = 60                     ∠ SAC = ∠ B ( ∵ Theorem 4 )                   ∴ ∠B = 60° ...

8.1.14

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14. Through the point of intersection of two circles two straight lines AB and CD are drawn meeting one circle at A , C and the other at B and D. Prove AC // BD.  Given:    : Two circles intersect at X and Y. AB and CD are drawn meeting one circle at A , C and the other at B and D. To Prove :  :AB // CD Proof :   : We draw XY.                   ACYX and BDYX are inscribed in a circles respectively.                  α = ∠ D                 β = ∠ C               α + β = 180            ∴ ∠ D + ∠C = 180           ∴ AB // CD

8.1.13

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    13. OA and OB are two radii of a circle meeting at right angle. From A and B two parallel chords AX and BY are drawn. Prove AY⏊BX. Given:   : OA and OB are two radii of a circle meeting at right angle. AX and BY are chords.  To prove :  :AY ⏊ BX Proof :    : Since  OA and OB are two radii of a circle meeting at right angle,                   ∠AOB = 90•                    ∠AXB =  ∠AYB =½  ∠AOB                                              = 45• (The 1)                     Since AX//BY,                       ∠XAZ =  ∠ZYB = 45  and                 ...

8.1.12

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12 ABC is a triangle in inscribed in a circle whose centre is O and OD is perpendicular drawn O to BC prove ∠BOD ≡ ∠BAC. Given:  : In ΔOBD and ΔOCD                Since OD ⏊BC                BD  =   CD                OD = OD (∵ common side)                BO = CO( ∵ radii )                ∴ Δ BOD ≡ Δ COD (∵ SSS )               ∠ OBD = ∠ COD              ∴ ∠ BOD = ½ ∠ COD ......Eq₁ Again,               ∠A = ½ ∠BOC ( ∵ Theorem 1 ).....Eq₂ From Eq₁ and Eq₂ ,               ∠ BAC = ∠ BOC                

WH မေးခွန်းများဖြေဆိုခြင်း

I. What မေးခွန်းအားဖြေဆိုခြင်း 1. Subject နေရာတွင်မေးသော What  2. Object နေရာတွင်မေးသော What 3. ပြုလုပ်ချက်ကိုမေးသော What 4. အဖြစ်အပျက်ကိုမေးသော What 5. အမျိုးအစားကိုမေးသော What 6. နည်းလမ်းကိုမေးသော What 7. ရည်ရွယ်ချက်ကိုမေးသော What 8. ခြားနားချက်ကိုမေးသော What SODHKWPD 1. Subject နေရာတွင်မေးသော What  Wh နောက်တွင် passive form ဖြင့်မေးလာပါက Subject နေရာ(Agent အဖြစ်) တွင် ဖြေပေးရမည်။ (or) Wh + V ဖြင့်မေးလျင်သော်လည်းကောင်း Sub နေရာတွင်ဖြေရမည်။ What aux +V(1/3)+N 1. What must be made when we want to succee examination? Reading and writing must be made when we went to succee the examination.                                   Grade 10  2. What warned him not to buy any meat or fish ?  His medical knowledge warned him not to buy any meat or fish. 2.What makes the sky on the earth blue?  The scattering of blue light in the spectrum by particles of air makes...