The complex number u is defined by i. Showing all your working, find the modulus of u
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The complex number u is defined by
i. Showing all your working, find the modulus of u and show that the argument of u is -1/2π.
ii. For complex numbers z satisfying arg(z - u) = 1/4π find the least possible value of |z|.
iii. For complex numbers z satisfying |z - (1 + i)u| = 1, find the greatest possible value of |z|.
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ANSWER i To find the modulus of u we can use the formula u 6 3i1 2i 6 3i1 2i1 2i1 2i 6 15i 6i 3i21 4i2 9 9i5 95 To find the argument of u we can use t...View the full answer
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Related Book For 
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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