# Let z -= a-i/2 ; a Є IR . Then | i+z |2 - |i-z |2 =

1.  2

2.  -2

3.  4

4.  -4

4

-2

Explanation :
No Explanation available for this question

# The locus of the complex number z such that arg(z-2 /  z+2) =π  / 3 is

1.  a circle

2.  a straight line

3.  a parabola

4.  an ellipse

4

a circle

Explanation :
No Explanation available for this question

# ( 1 + i )2011   / ( 1 - i )2009  =

1.  -1

2.  1

3.  2

4.  -2

4

-2

Explanation :
No Explanation available for this question

# If f : IR ----> IR is defined by f(x) = 7 + cos (5x+3) for x Є IR , then the period of f is

1.  2π

2.  π

3.  π/5

4.  2π/5

4

2&#960;/5

Explanation :
No Explanation available for this question

# cos A = 3/4 ==> 32 sin (A/2) sin (5A/2) =

1.  7

2.  8

3.  13

4.  11

4

11

Explanation :
No Explanation available for this question

# If f(x) = sin6 x + cos6 x for x Є IR , then f(x) lies in the interval

1.  [7/8  , 5/4]

2.  [1/2  , 5/8]

3.  [1/4  , 1]

4.  [1/4  , 1/2]

4

[1/4&nbsp; , 1]

Explanation :
No Explanation available for this question

# The most general value of θ which satisfies both the equations tan θ =-1 and  cos θ = 1/√2 is

1.  nπ + 7 π/4

2.  2nπ + 7π/4

3.  nπ + (-1)n 7π/4

4.  7nπ / 4

4

2n&#960; + 7&#960;/4

Explanation :
No Explanation available for this question

# (tan-1 x)2 + (cot-1 x)2 = 5π2 / 8 ===> x =

1.  -1

2.  1

3.  0

4.  π√(5/8)

4

-1

Explanation :
No Explanation available for this question

# For 0 < x < π  sinh-1(cot x) =

1.  log(cot x/2)

2.  log(tan x/2)

3.  log(1 + cot x)

4.  log(1 + tan x)

4

log(cot x/2)

Explanation :
No Explanation available for this question

# In a triangle ABC if a cos2 C/2+ c cos2 A/2 =3b/2, then the sides of the triangle are

1.  an arithmetic progression

2.  an geometric progression

3.  a harmonic progression

4.  an arithmetic-geometric progression

4