COMPLEX analysis
2
Chapter no 2 Complex Numbers Class Test 3 1 ] The multiplicative inverse of the complex number 3 + 4i is a) 3– 4i b) 3 5 − 4 5 i c) 3 5 + 4 5 i d) None. 2 ] The additive inverse of the complex number -3i is a) 3 b) -3 c) 3i d) 0. 3 ] The conjugate of the complex number – 5i is given by a) 5 b) (0, 5) c) 5i d) Both b) and.c). 4 ] The modulus of the complex number ( a, –b) is a) a 2 + b 2 b) (a 2 + b 2 ) 2 c) ( a 2 + b 2 ) 1 2 d) ( a 2 −b 2 ) 1 2 .. 5 ] If z = ( 2 , 3 ) then 1 z = ? a) 2 – 3i b) 2 13 − 3 13 i c) 2 13 + 3 13 i d) 2 13 i− 3 13 6 ] if Z 1 , Z 2 and Z 3 are complex numbers then Z 1 (Z 2 + Z 3 ) =? a) Z 1 Z 2 + Z 1 Z 3 b) Z 1 (Z 2 –Z 3 ) c) (Z 1 + Z 2 ) + Z 3 d) Does not exist.. 7 ] If i 2 = - 1 then what is the multiplicative inverse of i 3 a) 1 b) - 1 c) i d) – i. .. 8 ] Find Z 3 when Z 1 =1 – 2i and Z 2 = 1+2i and 1 z 3 = 1 z 2 + 1 z 1 . a) 5 2 b) -3 c) 3i d) 2 5 . 9] ( 1 – i ) 4 = ? a) 4 b) -4 c) 8 d) 16. 10 ] i 16 + i 17 + i 19 =? a) 1 b) i c) 0 d) -2i 11] The term complex number was introduced by a) Leonhard Euler b) Leibniz c ¿ Descartes d) Friedrich Guass 12] ( a , 0 ) ( c , 0 ) = a) ( a , c ) b) ( a , 0 ) c) ( ac , 0 ) d) ( 0 , 0 ) Chapter no 2 Complex Numbers Class Test 3 1 ] The multiplicative inverse of the complex number 3 + 4i is a) 3– 4i b) 3 5 − 4 5 i c) 3 5 + 4 5 i d) None. 2 ] The additive inverse of the complex number -3i is a) 3 b) -3 c) 3i d) 0. 3 ] The conjugate of the complex number – 5i is given by a) 5 b) (0, 5) c) 5i d) Both b) and.c).
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Transcript of COMPLEX analysis
Chapter no 2 Complex Numbers Class Test 3
1 ] The multiplicative inverse of the complex number 3 + 4i is
a) 3– 4i b)
35− 45i c)
35+ 45i
d) None. 2 ] The additive inverse of the complex number -3i is
a) 3 b) -3 c) 3i d) 0.
3 ] The conjugate of the complex number – 5i is given by a) 5 b) (0, 5) c) 5i d) Both b) and.c).
4 ] The modulus of the complex number ( a, –b) is
a) a2 + b2 b) (a2 + b2 )2 c) (a2+b2 )
12
d) (a2−b2 )
12
..
5 ] If z = ( 2 , 3 ) then
1z = ?
a) 2 – 3i b)
213
− 313i c)
213
+ 313i d)
213i− 313
6 ] if Z1 , Z2 and Z3 are complex numbers then Z1 (Z2 + Z3) =?a) Z1 Z2 + Z1 Z3 b) Z1 (Z2 –Z3) c) (Z1 + Z2 ) + Z3 d) Does not exist..
7 ] If i2 = - 1 then what is the multiplicative inverse of i3
a) 1 b) - 1 c) i d) – i. ..
8 ] Find Z3 when Z1 =1 – 2i and Z2 = 1+2i and
1z3
= 1z 2
+ 1z1 .
a)
52 b) -3 c) 3i d)
25 .
9] ( 1 – i )4 = ?a) 4 b) -4 c) 8 d) 16.
10 ] i16 + i17 + i19 =?a) 1 b) i c) 0 d) -2i
11] The term complex number was introduced by a) Leonhard Euler b) Leibniz c ¿ Descartes d) Friedrich Guass
12] ( a , 0 ) ( c , 0 ) = a) ( a , c ) b) ( a , 0 ) c) ( ac , 0 ) d) ( 0 , 0 )
Chapter no 2 Complex Numbers Class Test 3
1 ] The multiplicative inverse of the complex number 3 + 4i is
a) 3– 4i b)
35− 45i c)
35+ 45i
d) None. 2 ] The additive inverse of the complex number -3i is
a) 3 b) -3 c) 3i d) 0.
3 ] The conjugate of the complex number – 5i is given by a) 5 b) (0, 5) c) 5i d) Both b) and.c).
4 ] The modulus of the complex number ( a, –b) is
a) a2 + b2 b) (a2 + b2 )2 c) (a2+b2 )
12
d) (a2−b2 )
12
..
5 ] If z = ( 2 , 3 ) then
1z = ?
a) 2 – 3i b)
213
− 313i c)
213
+ 313i d)
213i− 313
6 ] if Z1 , Z2 and Z3 are complex numbers then Z1 (Z2 + Z3) =?a) Z1 Z2 + Z1 Z3 b) Z1 (Z2 –Z3) c) (Z1 + Z2 ) + Z3 d) Does not exist..
7 ] If i2 = - 1 then what is the multiplicative inverse of i3
a) 1 b) - 1 c) i d) – i. ..
8 ] Find Z3 when Z1 =1 – 2i and Z2 = 1+2i and
1z3
= 1z 2
+ 1z1 .
a)
52 b) -3 c) 3i d)
25 .
9] ( 1 – i )4 = ?a) 4 b) -4 c) 8 d) 16.
10 ] i16 + i17 + i19 =?a) 1 b) i c) 0 d) -2i
11] The term complex number was introduced by a) Leonhard Euler b) Leibniz c ¿ Descartes d) Friedrich Guass
12] ( a , 0 ) ( c , 0 ) = a) ( a , c ) b) ( a , 0 ) c) ( ac , 0 ) d) ( 0 , 0 )
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