Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If (18x^2+12x+4)^n = a0 +a(1x)+ a(2x)^2 +......+ a(2n)x^(2n), prove th...
Text Solution
|
- If z=z0+A( bar z -( bar z 0)), w h e r eA is a constant, then prove t...
Text Solution
|
- If (sinalpha)x^2-2x+bgeq2 for all real values of xlt=1a n dalpha in (0...
Text Solution
|
- If z1, z2, z3 are three complex numbers such that 5z1-13 z2+8z3=0, t...
Text Solution
|
- If one root x^2-x-k=0 is square of the other, then k= a.2+-sqrt(5)...
Text Solution
|
- If z1, z2 are complex number such that (2z1)/(3z2) is purely imaginary...
Text Solution
|
- If alpha,a n dbeta be the roots of the equation x^2+p x-1//2p^2=0,w h ...
Text Solution
|
- If z1,z2,z3 are complex numbers such that 2/z1=1/z2 + 1/z3, show that ...
Text Solution
|
- Find the range of f(x)(x^2-x+1)/(x^2+x+1)
Text Solution
|
- If ((3-z1)/(2-z1))((2-z2)/(3-z2))=k(k >0) , then prove that points A(z...
Text Solution
|
- x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. ...
Text Solution
|
- If (x+i y)^5=p+i q , then prove that (y+i x)^5=q+i pdot
Text Solution
|
- If alpha,beta are the nonzero roots of a x^2+b x+c=0 and alpha^2,beta^...
Text Solution
|
- Find real theta such that (3+2isintheta)/(1-2isintheta) is purely real...
Text Solution
|
- If the roots of the equation a x^2+b x+c=0 are of the form (k+1)/k and...
Text Solution
|
- Prove that tan(iloge((a-ib)/(a+ib)))=(2ab)/(a^2-b^2) (where a, b in ...
Text Solution
|
- If alpha,beta are the roots of a x^2+b x+c=0a n dalpha+h ,beta+h are t...
Text Solution
|
- Find the real part of (1-i)^(-i)dot
Text Solution
|
- The equation (x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5) for x in (-2,3) will h...
Text Solution
|
- Convert of the complex number in the polar form: 1-i
Text Solution
|