Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If n is a positive integer, prove that |I m(z^n)|lt=n|I m(z)||z|^(n-1....
Text Solution
|
- The number of roots of the equation sqrt(x-2)(x^2-4x+3)=0 is (A) Th...
Text Solution
|
- If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, then ar...
Text Solution
|
- If x=1+i is a root of the equation x^3-i x+1-i=0, then the other real ...
Text Solution
|
- Find the modulus, argument, and the principal argument of the complex ...
Text Solution
|
- Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))...
Text Solution
|
- If the expression x^2+2(a+b+c)x+3(b c+ca+a b) is a perfect square, the...
Text Solution
|
- Find the point of intersection of the curves a r g(z-3i)=(3pi)/4 and a...
Text Solution
|
- The curve y=(lambda+1)x^2+2 intersects the curve y=lambdax+3 in exactl...
Text Solution
|
- if z and w are two non-zero complex numbers such that absz=absw and ar...
Text Solution
|
- The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(x...
Text Solution
|
- If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a se...
Text Solution
|
- If one vertex of the triangle having maximum area that can be inscribe...
Text Solution
|
- The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i...
Text Solution
|
- If the equation x^2-3p x+2q=0a n dx^2-3a x+2b=0 have a common roots an...
Text Solution
|
- Solve the equation 3^(x^2-x)+4^(x^2-x)=25.
Text Solution
|
- If t and c are two complex numbers such that |t|!=|c|,|t|=1a n dz=(a t...
Text Solution
|
- Consider the circle |z|=r in the Argand plane, which is in fact the in...
Text Solution
|
- Solve the equation 12x^4-56 x^3+89 x^2-56 x+12=0.
Text Solution
|
- If z is a complex number such that -pi//2lt=a r g zlt=pi//2, then whi...
Text Solution
|