Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- z1, z2 and z3 are the vertices of an isosceles triangle in anticlockwi...
Text Solution
|
- function f , x ->R , f(x) = (3x^2+mx+n)/(x^2+1) , if the range of func...
Text Solution
|
- If z(1) and z(2) are conjugate to each other , find the principal argu...
Text Solution
|
- If a is a complex number such that |a|=1, then find the value of a, s...
Text Solution
|
- If x^2+p x+1 is a factor of the expression a x^3+b x+c , then a^2-c^2=...
Text Solution
|
- Find the value of expression (cos(pi/2)+i sin(pi/2))(cos(pi/(2^2))+i s...
Text Solution
|
- If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' a...
Text Solution
|
- If a ,b are complex numbers and one of the roots of the equation x^2+a...
Text Solution
|
- If |z1|=|z2|=1, then prove that |z1+z2|= |1/z1+1/z2∣
Text Solution
|
- For x in (0,1) , prove that i^(2i+3) ln((i^3x^2+2x+i)/(i x^2+2x+i^3))=...
Text Solution
|
- The sum of the non-real root of (x^2+x-2)(x^2+x-3)=12 is a.-1 b....
Text Solution
|
- 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
|