### Random Questions from 2016 Prelims #11

TPJC/P2/4 (a) The complex number w is given by (i) Find the modulus and argument of w, giving your answer in exact form. (ii) Without using a calculator, find the smallest positive integer value [...]

TPJC/P2/4 (a) The complex number w is given by (i) Find the modulus and argument of w, giving your answer in exact form. (ii) Without using a calculator, find the smallest positive integer value [...]

PJC P2 Q1 The complex numbers a and b are given by and respectively. (i) On a single Argand diagram, sketch the loci (a) (b) (ii) Find the range of where is the complex number that satisfies the [...]

HCI P1 Q5 Sketch on a single Argand diagram, the loci defined by and (i) Find the minimum value of (ii) Find the minimum value of (iii) Given that , state the minimum value of

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Max. Min. (iii) Max. KS Comments: This question is standard [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Since (ii) (iii) KS Comments: This is a question that tests student [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (a) (i) Locus of z is a circle with centre (-5, 1) and radius 4. (ii) By [...]

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