Express the given complex number in the form a + ib: (5i)(-3i/5)

Express the given complex number in the form a + ib:

i

Express the given complex number in the form a + ib: i

Express the given complex number in the form a + ib: 3(7 + i7) + i(7 + i7)

Express the given complex number in the form a + ib: (1 – i) – (–1 + i6)

Express the given complex number in the form a + ib:

(1/5+2i/5)-(4+i5/2)

Express the given complex number in the form a + ib:

Express the given complex number in the form a + ib: (1 – i)

Express the given complex number in the form a + ib: (1/3+3i)

Express the given complex number in the form a + ib: (-2-1i/3)

Find the multiplicative inverse of the complex number 4 – 3i.

Find the multiplicative inverse of the complex number

Find the multiplicative inverse of the complex number –i

Express the following expression in the form of a + ib.

(5i)(-3i/5)

Multiplying

=-(15/5)i

Now we know that

i

so

=3

i

=i

=(i

Now i

=i+(-i)

=i-i=0

3(7 + i7) + i(7 + i7)

=21+21i+7i+7i

Now i

So

=21+28i-7

=14+28i

(1 – i) – (–1 + i6)

(1/5+2i/5)-(4+i5/2)

=[(1/5)-4] +i[(2/5) –(5/2)]

=(-19/5) +(-21/10)i

(1 – i)

=(1+i

=(1-1-2i)

=4i

Let z=4-3i

Conjugate is given by

=4+3i

Modulus is given by

|z|=5

Multiple inverse of any complex number z is given by

Let z= √5+3i

Conjugate is given by

= √5-3i

Modulus is given by

|z|=5+9=14

Multiple inverse of any complex number z is given by

Let z=-i

Conjugate is given by

=i

Modulus is given by

|z|=1

Multiple inverse of any complex number z is given by

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**Notes**- What is complex numbers
- Algebra Of complex Numbers
- Conjugate of Complex Numbers
- Modulus of complex numbers
- Argand Plane
- Polar Representation of the complex number
- Rotation of Complex Number
- Identities for Complex Numbers
- Eulers formula and De moivre's theorem
- Cube Root of unity
- Complex roots of Quadratic equations

**NCERT Solutions & Worksheets**

Class 11 Maths Class 11 Physics Class 11 Chemistry Class 11 Biology

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