Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Find the value of x such that ((x+alpha)^n-(x+beta)^n)/(alpha-beta)=(s...
Text Solution
|
- Suppose a ,b ,c in I such that the greatest common divisor for x^2+a ...
Text Solution
|
- Find the value of following expression: [(1-cospi/(10)+isinpi/(10))/(1...
Text Solution
|
- Dividing f(z) by z- i, we obtain the remainder i and dividing it by z...
Text Solution
|
- If the roots of the cubic equation, x^3+a x^2+b x+c=0 are three consec...
Text Solution
|
- If z1, z2 in C ,z1^2+z2^2 in R ,z1(z1^2-3z2^2)=2 and z2(3z1^2-z2^2)...
Text Solution
|
- If cosalpha+cosbeta+cosgamma=0 a n d a l so sinalpha+sinbeta+singamm...
Text Solution
|
- If x+y+z=12 andx^2+y^2+z^2=96 and 1/x+1/y+1/z=36 , then find the valu...
Text Solution
|
- Prove that (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4), where n is a pos...
Text Solution
|
- The set {R e((2i z)/(1-z^2)): z is a complex number , |z|=1,z=+-1} is...
Text Solution
|
- If the equation x^2+ax+bc=0" and " x^2+bx+ca=0 have a common root, the...
Text Solution
|
- If a r g["z"1("z"3-"z"2)]=a r g["z"3("z"2-"z"1)] , then prove that O ,...
Text Solution
|
- If x" - "i y" "=sqrt((a-i b)/(c-i d)) prove that (x^2+y^2)^2=(a^2+b^2...
Text Solution
|
- If x^3+3x^2-9x+c is of the form (x-alpha)^2(x-beta) , then c is equ...
Text Solution
|
- If x=a+b,y=a alpha+b beta and z=abeta+ b alpha , where alpha and beta...
Text Solution
|
- If z=(a+ib)^5+(b+ia)^5 then prove that Re(z)=Im(z), where a,b in R.
Text Solution
|
- If a and b are positive numbers and eah of the equations x^2+a x+2b=0 ...
Text Solution
|
- Find the real values of x and y for which the following equation is sa...
Text Solution
|
- The three angular points of a triangle are given by Z=alpha, Z=beta,Z=...
Text Solution
|
- Suppose a ,b ,c are the roots of the cubic x^3-x^2-2=0. Then the value...
Text Solution
|