Q36 of 66 Page 91

The real value of α for which the expression is purely real is:

Given


Rationalizing the denominator,





It is given that z is purely real.



⇒ -3 sin α = 0


⇒ sin α = 0


∴ α = nπ, n ∈ I

More from this chapter

All 66 →
34

Where does z lie, if

35

sinx + i cos2x and cos x – i sin 2x are conjugate to each other for:

 37

If z = x + iy lies in the third quadrant, the also lies in the third quadrant if

 38

The value of (z + 3) is equivalent to