A-LevelMathematicsComplex numbers9709/31 · Oct/Nov 2024 · Q89 Marks
Show that (a-½)²+b² = ¼, where a and b are the functions of y found in part (a).
- (b)Show that (a-½)²+b² = ¼, where a and b are the functions of y found in part (a).[3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [M1] Express (a-½)²+b² in terms of y and expand the bracket
- [A1FT] Obtain (1/(1+y²)-½)² + (-y/(1+y²))² from (a) provided it gives an expression in y.
- [A1] Obtain ¼ from full and correct working
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