Lim Han Quan's answer to Audris yeo's Secondary 4 A Maths question.

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Lim Han Quan
Lim Han Quan's answer
43 answers (A Helpful Person)
1st
For A) its a matter of using the pythagoras theorem to combine OD and OE.

For B) make use of the equation Rcos(x - a) = (Rcosa)cosx + (Rsina)sinx

Solve for R and A respectively

Anyway i'm guessing the tricky bit was C)? The question seemed pretty vague but im assuming the circles were as such (refer to the diagram I drew)

The 2 circles touching the x axis would form a minimum theta while the 2 circles touching the y axis would form the maximum theta

A little late but I hope this helps :)