HARD
JEE Advanced
IMPORTANT
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Intercept made by the circle zz¯+α¯z+αz¯+r=0 on the real axis on complex plane, is

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Important Questions on Complex Numbers

HARD
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 4 - Complex Numbers>Work Book Exercise 4.4>Q 30
The equation of the radical axis of the two circles represented by the equations, z-2=3 and z-2-3i=4 on the complex plane is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 4 - Complex Numbers>Target Exercises>Q 1
The value of i592+i590+i588+i586+i584i582+i580+i578+i576+i574-1 is
EASY
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 4 - Complex Numbers>Target Exercises>Q 2
i57+1i125, when simplified has the value
EASY
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 4 - Complex Numbers>Target Exercises>Q 3
in+in+1+in+2+in+3 is equal to
EASY
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 4 - Complex Numbers>Target Exercises>Q 4
The value of 1+i2+i4+i6+…+i2n ( where i=-1)  is
EASY
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 4 - Complex Numbers>Target Exercises>Q 5
The value of i19+1i252 is
EASY
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 4 - Complex Numbers>Target Exercises>Q 6
If n is any positive integer, then the value of i4n+1-i4n-12 equals
EASY
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 4 - Complex Numbers>Target Exercises>Q 7
For a positive integer n, the expression 1-in1-1in equals