ASSIGNMENT – 1( BASIC) ON COMPLEX NUMBER
SECTION – A ( Onemark Questions
)
1. Multiply √ + in to its conjugate.
2. Find real x and y , if (x – iy) (3 + 5i) is the conjugate of – 6 – 24i
3. Find the multiplication inverse of √ - i
4. The standard form of −
is ……
5. +
+
−
is ------
6.The modulus of −
is …
7.The the principal argument of the complex number -i is ……
8. Square root of ‘i’ is (a)
√
(b) −
√
(c)
√
(d) ±
√
SECTION – B (Two marks Questions
)
9.
Prove that
−
−
+
+
i
i
i
i
43
32
43
32
is purely real
10.If a + ib =
i
c
ic
−
+
, prove that a
2
+ b
2
= 1
11.What is the value of
2
1414 −+
−
nn
ii
12.Express
+
−
+
−
−i
i
ii 5
43
1
2
41
1
in to a+b form
SECTION – C (Four marks Questions
)
13.Find the modulus and argument of the
complex numbers and convert
them in to polar form .
14. Write the real value for which
α
α
sin
2
1
sin1
i
i
+
−
is purely real
15. If a+ ib =
i
c
ic
−
+
where a, b, c are real , prove that a
2
+ b
2
=1 and
=
16. Find the values of x and y if
(
)
(
)
i
i
iyi
i
ixi =
−
+
−
+
+
−
+
3
32
3
21
