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Relations And Functions
Simplify
(i1 + i2 + i3 + i4 + i5 + i6 + i7 + i8 ) + ........+ i200 )
= (i1 + i2 + i3 + i4 + i5 + i6 + i7 + i8 ) + ......+ (i197 + i198 + i199 + i200 )
...(i)
Now, i4 = 1, putting in (i)
(i1 + i2 + i3 + 1) + (i4 . i + i4 .i2 +i4 . i3 +1) .... + (i196 i + i196 .i2 + i196 . i3 + 1)
= (i1 + i2 + i3 + 1) + (i1 + i2 + i3 + 1) + ...... + (i1 + i2 + i3 + 1)
= (i - 1 - i + 1) + (i - 1 - i + 1) + ...... (i - 1 - i + 1) + (∵ i2 = -1, i3 = 1)
= 0 + 0 + 0 ......+ 0 = 0
Sponsor Area
i9 + i19
3(7 + i7) + i(7 + i7)
Express each of the complex number given in the form of a + ib.
(1 - i) - (-1 + i6)
Express each of the complex number given in the form of a + ib.
(1 - i)4
Find the multiplicative inverse of
- i
Find the multiplicative inverse of each of the complex number.
4 - 3i
Sponsor Area