Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If a x^2+b x+6=0 does not have distinct real roots, then find the leas...
Text Solution
|
- |z-2-3i|^2+|z-4-3i|^2=lambda represents the equation of the circle wit...
Text Solution
|
- Match the statements/expressions given in column I with the values g...
Text Solution
|
- A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)...
Text Solution
|
- If (sqrt(8)+i)^(50)=3^(49)(a+i b) , then find the value of a^2+b^2dot
Text Solution
|
- Let a ,b ,c in Q^+ satisfying a > b > c . Which of the following stat...
Text Solution
|
- Find the complex number satisfying system of equation z^(3)=-((omega))...
Text Solution
|
- If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of...
Text Solution
|
- If |z-i R e(z)|=|z-I m(z)| , then prove that z , lies on the bisectors...
Text Solution
|
- For any integer k let alphak=cos((kpi)/7)+isin((kpi)/7) where i=sqrt(-...
Text Solution
|
- If x=1+1/(3+1/(2+1/(3+1/(2)))) a 52/2 b. 55/71 c. 60/52 d....
Text Solution
|
- Show that (x^2+y^2)^4=(x^4-6x^2y^2+y^4)^2+(4x^3y-4x y^3)^2dot
Text Solution
|
- Let omega=e^(ipi/3),and a,b,c,x,y,z be non zero complex numbers such t...
Text Solution
|
- Find the values of a for which all the roots of the euation x^4-4x^3-8...
Text Solution
|
- if z is any complex number satisfying abs(z-3-2i)le2 then the minimum ...
Text Solution
|
- Let |(( bar z 1)-2( bar z 2))//(2-z1( bar z 2))|=1 and |z2|!=1,where z...
Text Solution
|
- If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is (a)3 ...
Text Solution
|
- Let 1,w,w^2 be the cube root of unity. The least possible degree of a ...
Text Solution
|
- If z1a n dz2 are complex numbers and u=sqrt(z1z2) , then prove that |z...
Text Solution
|
- The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is a....
Text Solution
|