Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

(a(i))[1]

Write down the mathematical term for line $PQ$.

(a(ii))[1]

Explain why angle $OPB$ equals $90^{\circ}$.

(a(iii))[3]

Find the value of $x$.

(b(i))[2]

Find the value of $a$. Give a reason for your answer.

(b(ii))[2]

Find the value of $b$. Give a reason for your answer.

(b(iii))[2]

Find the value of $c$.

(c)[3]

Calculate the value of $x$.

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