Category: Complex Numbers and Quadratic Equations

14. If ((frac{1+i}{1-i})^m=1), then find the least positive integral value of m. Complex Numbers and Quadratic Equations Miscellaneous

13. If (a + ib) (c + id) (e + if) (g + ih) = A + iB,

12. Find the number of non-zero integral solutions of the equation (|1-i|^x=2^x). Complex Numbers and Quadratic Equations Miscellaneous

11. If α and β different complex numbers with |β|=1, then find (|frac{β-α}{1-bar{α}β}|) Complex Numbers and Quadratic Equations

10. If ((x+iy)^3=u+iv), then show that (frac{u}{x}+frac{v}{y}=4(x^2-y^2)). Complex Numbers and Quadratic Equations Miscellaneous Exercise Previous Next Class 11

9. Find the modulus of (frac{1+i}{1-i}-frac{1-i}{1+i}). Complex Numbers and Quadratic Equations Miscellaneous Exercise Previous Next Class 11 Complex

8. Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate

7. Let (z_1=2-i, z_2=-2+i). Find (i) (Re(frac{z_1 z_2}{bar{z_1}})) (ii) (Im(frac{1}{z_1 bar{z_1}})) Complex Numbers and Quadratic Equations Miscellaneous Exercise