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Relations And Functions

Question
CBSEENMA11013089
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Find the modulus of the following complex numbers :
(2+3i)(1-i)+(3-5i)

Solution

Let             z = (2+3i)(1-i)+(3-5i) = (2 - 2i + 3i -3i2 ) + ( 3 -5i)
                    = (5+i) + (3-5i) = 8 -4i
rightwards double arrow  space space space space space space space space space space space space space space space open vertical bar straight z close vertical bar space equals space square root of left parenthesis 8 right parenthesis squared space plus space left parenthesis negative 4 right parenthesis squared end root
        space space space space space space space space space space space space space space equals space space square root of 64 plus 16 end root space equals space square root of 80 space equals space 4 square root of 5

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Some More Questions From Relations and Functions Chapter

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

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