If a > 0 and z = ( 1 + i ) 2 a - i , has magnitude 2 5 , then z - is equal to:

Question

If a &#62; 0 and z = ( 1 + i ) 2 a - i , has magnitude 2 5 , then z - is equal to:

Aicharya · Accepted Answer

Z = 1 + i 2 a - i = 2 i a - i z = 2 5 &#8658; 2 i a - i = 2 a 2 + 1 = 2 5 &#8658; a = 3 &#160; &#160; &#160; &#8757; a &#62; 0 So, z - = 2 i 3 - i - = &#160; - 2 i 3 + i = - 2 i 3 + i &#215; 3 - i 3 - i = - 6 i - 2 3 2 + 1 = - 1 5 - 3 5 i

If a &#62; 0 and z = ( 1 + i ) 2 a - i , has magnitude 2 5 , then z - is equal to:

Solution

If a > 0 and z = ( 1 + i ) 2 a - i , has magnitude 2 5 , then z - is equal to: