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)
2 + 3i 2 − 3i
9.Prove that is purely real
3 + 4i 3 − 4i
c+i
10.If a + ib = , prove that a2 + b2 = 1
c−i
i 4 n +1 − i 4 n −1
11.What is the value of
2
12.Express
1 2 3 − 4i
− in to a+ b form
1 − 4i 1+ i 5 + i
SECTION – C (Four marks Questions)
13.Find the modulus and argument of the complex numbers and convert
them in to polar form .
1 − i sin α
14. Write the real value for which is purely real
1 + 2i sin α
=
c+i
15. If a+ ib = where a, b, c are real , prove that a2 + b2 =1 and
c−i
16. Find the values of x and y if
(1 + i )x − 2i + (2 − 3i ) y + i = i
3+i 3−i
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)
2 + 3i 2 − 3i
9.Prove that is purely real
3 + 4i 3 − 4i
c+i
10.If a + ib = , prove that a2 + b2 = 1
c−i
i 4 n +1 − i 4 n −1
11.What is the value of
2
12.Express
1 2 3 − 4i
− in to a+ b form
1 − 4i 1+ i 5 + i
SECTION – C (Four marks Questions)
13.Find the modulus and argument of the complex numbers and convert
them in to polar form .
1 − i sin α
14. Write the real value for which is purely real
1 + 2i sin α
=
c+i
15. If a+ ib = where a, b, c are real , prove that a2 + b2 =1 and
c−i
16. Find the values of x and y if
(1 + i )x − 2i + (2 − 3i ) y + i = i
3+i 3−i
