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 \(\displaystyle a=\)\(1 + 16 i\) and \(\displaystyle b=\)\(3 + 26 i\). Write z=x+iy.
Find the x-coordinate of the segment midpoint.
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 \(\displaystyle a=\)\(2 + 17 i\) and \(\displaystyle b=\)\(6 + 21 i\). Write z=x+iy.
Find the x-coordinate of the segment midpoint.
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 \(\displaystyle a=\)\(2 + 17 i\) and \(\displaystyle b=\)\(6 + 21 i\). Write z=x+iy.
Find its y-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 \(\displaystyle a=\)\(3 + 18 i\) and \(\displaystyle b=\)\(9 + 24 i\). Write z=x+iy.
Find its y-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 \(\displaystyle a=\)\(3 + 18 i\) and \(\displaystyle b=\)\(9 + 24 i\). Write z=x+iy.
Find the gradient of the equal-distance 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 \(\displaystyle a=\)\(4 + 19 i\) and \(\displaystyle b=\)\(6 + 27 i\). Write z=x+iy.
Find the gradient of the equal-distance 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.
Check understanding
Maths4U Original · Short practice
On an Argand diagram let \(\displaystyle a=\)\(4 + 19 i\) and \(\displaystyle b=\)\(6 + 27 i\). Write z=x+iy.
Find its y-intercept.
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 \(\displaystyle a=\)\(5 + 20 i\) and \(\displaystyle b=\)\(9 + 30 i\). Write z=x+iy.
Find its y-intercept.
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.