9709 P3 · Notes & worked examples
Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.
Recall
Maths4U Original · Short practice
On an Argand diagram let \(\displaystyle c=\)\(22 + 3 i\). Consider \(|z-c|=4\).
Write z=x+iy and \(\displaystyle r=4\).
Find the centre real coordinate.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Fresh review variant
Maths4U Original · Short practice
On an Argand diagram let \(\displaystyle c=\)\(23 + 4 i\). Consider \(|z-c|=5\).
Write z=x+iy and \(\displaystyle r=5\).
Find the centre real coordinate.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Method
Maths4U Original · Short practice
On an Argand diagram let \(\displaystyle c=\)\(23 + 4 i\). Consider \(|z-c|=5\).
Write z=x+iy and \(\displaystyle r=5\).
Find the centre imaginary coordinate.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Fresh review variant
Maths4U Original · Short practice
On an Argand diagram let \(\displaystyle c=\)\(24 + 5 i\). Consider \(|z-c|=6\).
Write z=x+iy and \(\displaystyle r=6\).
Find the centre imaginary coordinate.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Apply
Maths4U Original · Short practice
On an Argand diagram let \(\displaystyle c=\)\(24 + 5 i\). Consider \(|z-c|=6\).
Write z=x+iy and \(\displaystyle r=6\).
Find the squared radius.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Fresh review variant
Maths4U Original · Short practice
On an Argand diagram let \(\displaystyle c=\)\(25 + 2 i\). Consider \(|z-c|=7\).
Write z=x+iy and \(\displaystyle r=7\).
Find the squared radius.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Check understanding
Maths4U Original · Short practice
On an Argand diagram let \(\displaystyle c=\)\(25 + 2 i\). Consider \(|z-c|=7\).
Write z=x+iy and \(\displaystyle r=7\).
Find the greatest real coordinate on the locus.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Fresh review variant
Maths4U Original · Short practice
On an Argand diagram let \(\displaystyle c=\)\(26 + 3 i\). Consider \(|z-c|=3\).
Write z=x+iy and \(\displaystyle r=3\).
Find the greatest real coordinate on the locus.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.