Text Solution
Verified by Experts
The correct Answer is:
Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
MODERN PUBLICATION-COMPLEX NUMBERS-FREQUENTLY ASKED QUESTIONS
- If z=2-3i show that z^2=4z+13=0 and hence find the value of 4z^3-3z^2+...
Text Solution
|
- Show that a real value of x\ will satisfy the equation (1-i x)/(1+i x...
Text Solution
|
- If y=sqrt(x^2+6x+8), show that one value of sqrt(1+i y)+sqrt(1-i y)[i=...
Text Solution
|
- If a+i b=(c+i)/(c-i) , where c is real, prove that:a^2+b^2=1a n d b/a=...
Text Solution
|
- If (a+ib)/(c+id)=x+iy, show that: x^(2)+y^(2)=(a^(2)+b^(2))/(c^(2)+d...
Text Solution
|
- Find the conjugate and modulus of complex number 7-24i.
Text Solution
|
- Find the conjugate of ((3-2i)(2+3i))/((1+2i)(2-i)).
Text Solution
|
- Prove that for any complex number z, the product zoverline(z) is alway...
Text Solution
|
- If z=((sqrt(5))/(2)+(i)/(2))^(5)+((sqrt(5))/(2)-(i)/(2))^(5), the prov...
Text Solution
|
- Write the addtive inverse of the complex number -2+3i.
Text Solution
|
- Find the additive inverse and reciprocal of complex number 3-4i.
Text Solution
|
- Find the multiplicative inverse of the following: (i) 3+4i (ii) (5...
Text Solution
|
- Inverse of (3+4i)/(4-5i)
Text Solution
|
- If z=(1-i)^(6)+(1-i), then find the modulus of z (i.e., |z|) and multi...
Text Solution
|
- Find the value of sqrt(3-4i).
Text Solution
|
- Find the square roots of -48-14i.
Text Solution
|
- Find the square roots of : ((2+3i)/(5-4i)+(2-3i)/(5+4i)).
Text Solution
|
- Square root of (x^2+1/x^2)-4/i(x-1/x)-6 is
Text Solution
|
- Evaluate sqrt(4+3sqrt(-20))+sqrt(4-3sqrt(-20)).
Text Solution
|
- 2x^4+5x^3+7x^2-x+41, when x=-2-sqrt(3)i
Text Solution
|