Text Solution
AI Generated Solution
Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
- If the points P and Q represent the complex numbers z and iz then angl...
Text Solution
|
- If z1ne-z2 and |z1+z2|=|1/z1 + 1/z2| then :
Text Solution
|
- Find z, if |(z+1)/(z+i)|=1
Text Solution
|
- If in the Argand plane z1,z2,z3 and z4 are four points such that |z1|=...
Text Solution
|
- State true or false: If zne0 then argz+argbarz=0.
Text Solution
|
- Let z1 and z2 be the roots of z^2+pz+q=0. Then the points represented ...
Text Solution
|
- If z1,z2 are nonzero complex numbers then |(z1)/(|z1|)+(z2)/(|z2|)|le2...
Text Solution
|
- The nth roots of -1 can be n terms of a GP.
Text Solution
|
- In the following, each question has one or more than one correct answe...
Text Solution
|
- If |z-3i|=3 and amp z in (0, pi/2), then cot(amp z)-theta/z is eqaul ...
Text Solution
|
- If zne0 then amp z +ampbarz = .
Text Solution
|
- x+iy=((sqrt3+i)/(1-sqrt3i))^25 then x=, y=.
Text Solution
|
- If alpha1,alpha2,alpha3,alpha4 be the roots of x^5-1=0 then prove that...
Text Solution
|
- Consider the quadratic equation az^(2)+bz+c=0 where a,b,c and non-zero...
Text Solution
|
- If |z^2-4|=2|z| then find the greatest value of |z|.
Text Solution
|
- If z=2 + t + i sqrt(3-t^2), where t is real and t^2 lt 3, show that t...
Text Solution
|
- If |z1|=1,|z2|=1 then prove that |z1+z2|^2+|z1-z2|^2 =4.
Text Solution
|
- z1,z2 are represented by two consecutive vertices of a rhombus, the an...
Text Solution
|
- Prove that t^(2) + 3t + 3 is a factor of ( t+1)^(n+1)^(n+1) + (t+2)^(2...
Text Solution
|
- If x^2-x+1 =0 then find the value of (x+1/x)^2+(x^2+1/x^2)^2+(x^3+1/x^...
Text Solution
|