i have pre written essays and technique tables. first choice is the essay, but if the question is something absurd, then ill think of it on the spot using the technique tables/ phrases from pre written essay as guidance.
6(a) and the first one from the circle geo section look too long for this late in the night.
For the second one from the list:
Aim: prove QP = QR
Proof: SQP = SPQ (given)
SQP = QPR (alternate angles in parallel lines)
SPQ = SQP = QRP (angle between tangent and chord is equal to the angle...
5(a) (i) TPA = PBA (angle between a tangent and a chord is equal to the angle in the opp. seg.)
also TPA = PCB (alternate angles in parallel lines)
:. PBA = PCB
(ii) Taking triangles PBA and PBC,
PBA = PCB (part (i))
APB = CPB (common)
:. Triangle PBA ||| Triangle PBC
So by similar...
2(c). (i) SO = OP (radii first circle)
OP = SP (radii second circle)
:. SO = SP = OP
:. SOP is equilateral
(ii) By the same principle (you'd show some working or explanation), TOP is also an equilateral triangle.
:. SOT = SOP + TOP
= pi/3 + pi/3
=2pi/3
(iii) A = 2 x STP
i.e. A = 2 x...
amazing 3u english mark. i got 24/25 for the essay and 20/25 for the creative. arguably the most irritating creative question they could have asked (romanticism)