Complex Number

Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex number, modulus, and argument (or amplitude) of a complex number, Quadratic equations in real and complex number system and their solutions Relations between roots and co-efficient, nature of roots, the formation of quadratic equations with given roots.

Thu Apr 18, 2024

Multiple Choice Questions

Que 1

The value of (1+i)^4(1+1/i)^4 is

a) 12

b) 2

c) 8

d) 16

Ans (d)

Que 2

The value of x and y if 2+ (x+yi) = 3-i

a) 1,-1

b) -1,1

c) 1,1

d) -1,-1

Ans (a)

Que 3

The value of z1/z2 where z1 = 2+3i and z2=1+2i

a) 8/5+1/5i

b) 8/5 - 1/5i

c) 1/5 -8/5i

d) none of these

Ans (b)

Que 4

The conjugate of a complex number

(2-3i)/(4-i) is

a) 3i/4

b) (11+10i)/17

c) (11-10i)/17

d) (2+3i)/4i

Ans (c)

Que 5

If z= (1-√3i)/(1+√3i) then arg (z) is equal to

a) π/3

b) 2π/3

c) (-2π/3)

d) none of these

Ans (c)

Que 6

The square root of (7+24i) are

a) +-(3+4i)

b) +-(3-4i)

c) +-(4+3i)

d) +-(4-3i)

Ans (c)

Que 7

If z be a complex number angle between z and iz is

a) π

b) 0

c) (-π/2)

d) none of these

Ans (c)

Que 8

If |z+4|<=3 the greatest and least value of

|z+1| are

a) 6,-6

b) 6,0

c) 7,2

d) 0,-1

Ans (b)

Que 9

If w is an imaginary cube root of unity then

(1+w-w^2)^7 equals

a) 128w

b) -128 w

c) 128 w^2

d) -128w^2

Ans ( d )

Que 10

If |(z+i)/(z-i)| = 3 then radius of the circle is

a) 2/√21

b) 1/√21

c) √3

d) √21

Ans (c)

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Complex Number

Multiple Choice Questions

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