Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If x ,y and z are real and different and u=x^2+4y^2+9z^2-6y z-3z x-2x ...
Text Solution
|
- If (x+i y)^3=u+i v , then show that u/x+v/y=4(x^2-y^2)
Text Solution
|
- Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b ...
Text Solution
|
- If the sum of square of roots of the equation x^2+(p+i q)x+3i=0 is 8, ...
Text Solution
|
- Column I ...............................................................
Text Solution
|
- If sqrt(x+i y)=+-(a+i b), then findsqrt( -x-i ydot)
Text Solution
|
- Match the following for the equation x^2+a|x|+1=0,w h e r ea is a para...
Text Solution
|
- Find the ordered pair (x ,y) for which x^2-y^2-i(2x+y)=2idot
Text Solution
|
- If a ,b ,c are non zero complex numbers of equal modlus and satisfy a ...
Text Solution
|
- Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then...
Text Solution
|
- Let a is a real number satisfying a^3+1/(a^3)=18 . Then the value of a...
Text Solution
|
- Find non zero integral solutions of |1-i|^x=2^xdot
Text Solution
|
- Column I, Column II If x^2+a x+b=0 has roots alpha,betaa n dx^2+p x+...
Text Solution
|
- If (1+i)(1+2i)(1+3i)......(1+n i)=(x+i y) , show that 2. 5. 10...... (...
Text Solution
|
- If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c<0 , then wh...
Text Solution
|
- If omega is a cube root of unity, then find the value of the following...
Text Solution
|
- If f(x)=sqrt(x^2+a x+4) is defined for all x , then find the value of ...
Text Solution
|
- If omega is a cube root of unity, then find the value of the following...
Text Solution
|
- Find the domain and range of f(x)=sqrt(x^2-4x+6)
Text Solution
|
- Prove that |z1+z2|^2=|z1|^2+|z2|^2, ifz1//z2 is purely imaginary.
Text Solution
|