In the sketch alongside, PQ = 42 mm, PS 63 mm, RT=54 mm and TS =...

 

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In the sketch alongside, PQ = 42 mm, PS 63 mm, RT=54 mm and TS = 36 mm. QR: RS=1:6. Prove that (1) APQS III ATSR (2) PQ || ST (3) ŝ₁ =₁₁+Q₂ In the sketch alongside, DE and DC are tangents to the circle at E and C respectively. AE || FD. Prove that (1) AAEC III AEGD AF AB EF EC (3) CDEF is a cyclic quadrilateral. (4) DC is a tangent to circle FCG. (5) EF.CF=DF GF In the sketch alongside, BE is a tangent to circle CEG at E. AE = EC. Â₁ = x. (1) Name, with reasons, four other angles equal to .x. 63 mm 42 mm H2 AB AH སྱེ་ེ (2) Prove that = AG EC (3) Prove that (i) AG=GD (ii) EG² = =GD GH 54 mm F 2. T 36 mm B G₁ C In the sketch alongside, PQ = 42 mm, PS 63 mm, RT=54 mm and TS = 36 mm. QR: RS=1:6. Prove that (1) APQS III ATSR (2) PQ || ST (3) ŝ₁ =₁₁+Q₂ In the sketch alongside, DE and DC are tangents to the circle at E and C respectively. AE || FD. Prove that (1) AAEC III AEGD AF AB EF EC (3) CDEF is a cyclic quadrilateral. (4) DC is a tangent to circle FCG. (5) EF.CF=DF GF In the sketch alongside, BE is a tangent to circle CEG at E. AE = EC. Â₁ = x. (1) Name, with reasons, four other angles equal to .x. 63 mm 42 mm H2 AB AH སྱེ་ེ (2) Prove that = AG EC (3) Prove that (i) AG=GD (ii) EG² = =GD GH 54 mm F 2. T 36 mm B G₁ C

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