Q12 of 153 Page 13

If find (x, y)

Given:


⇒


Rationalising denominator


⇒


⇒


We know that i2=-1


⇒


⇒


⇒


⇒ i3–(-i)3=x+iy


⇒ 2i3=x+iy


⇒ 2i2.i=x+iy


⇒ 2(-1)i=x+iy


⇒ -2i=x+iy


Equating Real and Imaginary parts on both sides we get


⇒ x=0 and y=-2


∴ The values of x and y are 0 and -2.


More from this chapter

All 153 →
10

Find the real values of θ for which the complex number is purely real.

 11

Find the smallest positive integer value of n for which is a real number.

 13

If find x + y.

 14

If find (a, b).