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12th Tamil Nadu Board
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The least positive integer n for which (1+i)2n=(1-i)2n is

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Important Questions on Complex Numbers

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12th Tamil Nadu Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Complex Numbers>Exercise>Q 12
Let  i=-1 defines a sequence of complex numbers by z1=0, zn+1=zn2+i for n≥1 in the complex plane, then z111 lies in which quadrant?
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12th Tamil Nadu Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Complex Numbers>Exercise>Q 13
Dividing f(z) by z-i, we obtain the remainder i and dividing it by z+i, we get the remainder 1+i, then remainder upon the division of f(z) by z2+1 is
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12th Tamil Nadu Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Complex Numbers>Exercise>Q 14
If a and b are integers then a×b=ab is true only when
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12th Tamil Nadu Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Complex Numbers>Exercise>Q 15
-9×-25=?
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12th Tamil Nadu Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Complex Numbers>Exercise>Q 16
The complex number z=x+iy satisfies the equation z-5iz+5i=1. Then
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12th Tamil Nadu Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Complex Numbers>Exercise>Q 17
The complex number z=x+iy satisfies the equation z-5iz+5i=1. Then
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12th Tamil Nadu Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Complex Numbers>Exercise>Q 18
If z1=2+5i,z2=-3-4i, and z3=1+i, find the additive and multiplicative inverse of z1,z2, and z3.
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12th Tamil Nadu Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 2 - Complex Numbers>Exercise>Q 19
If z1=2-i and z2=-4+3i, find the inverse of z1z2 and z1z2.