CBSE Guess > Papers > Important Questions > Class XI > 2010 > Maths > Maths By Mr. Anil Kumar Tondak CBSE CLASS XI
Complex Nos. & Quadratic Equations Q.20. If Z is any non-zero complex number, prove that the multiplicative inverse of z is Q.21. Find the multiplicative inverse of the following complex numbers: Q.22. Find multiplicative inverse of 2 + Q.23. Find the square root of – 15 – 8i. Q.24. Find Modulus and Argument of : Q.25. Find the value of x and y if Q.26. If Z = Q.27. If Q.28. If Q.29. If (x + iy)3 = u + iv, then show that Q.30. If Q.31. Put the following in the form r (cos q + sin q), where r is a positive real number and - p < q £ p : Q.32. Represent the complex number Z = 1 + i Q.33. Express the following number in polar form: Q.34. Convert the complex number Q.35. Convert the complex number Z = Q.36. Convert the complex number Q.37. If Q.38. Let Z1 = 2 – i, Z2 = -2+ i, find Re Q.39. If z1 and z2 are 1 – i and -2 + 4i find: Im Q.40 . If Z1= 4+ 7i, Z2=1- i, find Im(Z1.Z2) Q.41. Solve: 2x2 – (3 + 7i)x – (3 – 9i) = 0 Q.42. Solve the equation:2z = Q.43 . Solve : Q.44. Solve for Q.45. For any two complex numbers Z1 and Z2 Prove that: Q.46. If z is the complex number then prove that: Q.47. Find the number of non - zero integral solutions of the equation | 1 - t | x = 2x Q.48. If Z is a complex number such that Q.49. Find the complex number, z satisfying the equations: Q.50. Show that if Q.51. If a + ib = Q.52. If Q.53. Find the real value of such that Q.54. If a and b are different complex numbers with | b| = 1, find Paper By Mr. Anil Kumar Tondak |
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. Hence find the multiplicative inverse of 4
.
(2) Z = 
, prove that x2 + y2 =1.
x2 + y2 = 1
, prove that 
in the Polar form.
into polar form.
in the Polar form.
in the polar form and represent them in Argand plane.
then find the least integral value of m.
.
.
.
then prove that 
.
.
is (i) purely real (ii) purely imaginary.
.