Text Solution
AI Generated Solution
Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
- Find the non-zero complex numbers z satisfying barz =i z^2dot
Text Solution
|
- Show that if iz^3+z^2-z+i=0, then |z|=1
Text Solution
|
- Solve the equation z^2 +|z|=0 , where z is a complex number.
Text Solution
|
- If z1, z2a n dz3, z4 are two pairs of conjugate complex numbers, find ...
Text Solution
|
- If zr=cos(pi/(3^r))+isin(pi/(3^r)),r=1,2,3, , prove that z1z2z3 zoo=i...
Text Solution
|
- If xn=cospi/(2^n)+isinpi/(2^n) , prove that x1x2x3 xoo=-1.
Text Solution
|
- Find the square root of the following: 5+12 i
Text Solution
|
- Find the square roots of -15-8idot
Text Solution
|
- Find the number of solutions of z^2+|z|^2=0.
Text Solution
|
- If ((a^2+1)/(2a-i))^2=x+i y , find the value of x^2+y^2dot
Text Solution
|
- Let z1a n dz2 be two complex numbers such that ( z )1+i( z )2=0 and ...
Text Solution
|
- If |z-5i|=|z+5i| , then the locus of zdot
Text Solution
|
- If z1a n dz2 both satisfy z+barz r =2|z-1| and a r g(z1-z2)=pi/4 , t...
Text Solution
|
- Show that the complex number z, satisfying the condition arg ((z -1)/(...
Text Solution
|
- If z=(1+7i)/((2-i)^2) , then find |z|?
Text Solution
|
- The value of (i^5+i^6+i^7+i^8+i^9)/(1+i) is
Text Solution
|
- Write the least positive integral value of n for which ((1+i)/(1-i))^n...
Text Solution
|
- If f(z)=(7-z)/(1-z^2) , where z=1+2i , then |f(z)| is
Text Solution
|
- If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...
Text Solution
|
- What is the locus of z , if amplitude of (z-2-3i) is pi/4?
Text Solution
|