1.  log tan θ

2.  (1/2)log tan(π/4+θ)

3.  (1/2)log tan(π/4-θ)

4.  log cot θ

4

(1/2)log tan(π/4+θ)

Explanation :
No Explanation available for this question

# I:Coefficient of x10 in the expansion of (2+3x)e-x is -28/(10)! II:The coefficient of xn in

1.  Only I is true

2.  Only II is true

3.  Both I and II are true

4.  Neither I nor II true

4

Only I is true

Explanation :
No Explanation available for this question

# The sum of the series log42-log82+log162-… is

1.  e2

2.  loge 2+1

3.  loge 3-2

4.  1-loge2

4

1-loge2

Explanation :
No Explanation available for this question

# I: II:

1.  Only I is true

2.  Only II is true

3.  Both I and II are true

4.  Neither I nor II true

4

Only II is true

Explanation :
No Explanation available for this question

# If x,y,z are three consecutive positive integers then

1.  logex

2.  logey

3.  logez

4.  none

4

logey

Explanation :
No Explanation available for this question

# The derivative of Sec-1(ax) w.r.t x is

1.  log a/√(a2x-1)

2.  - log a/√(a2x-1)

3.  log a/√(a2x+1)

4.  -log a/√(a2x+1)

4

log a/√(a2x-1)

Explanation :
No Explanation available for this question

# If x= a cos θ, y= b sin θ then dy/dx=

1.  b/a cosec θ

2.  –b/a cot θ

3.  b/a coth θ

4.  –b/a tan hθ

4

–b/a cot θ

Explanation :
No Explanation available for this question

# If x= a(cos θ+θ sin θ), y=a(sin θ-θ cos θ)then dy/dx=

1.  tan θ

2.   cot θ

3.  cot θ/2

4.  tan θ/2

4

tan θ

Explanation :
No Explanation available for this question

# d/dx{Tan-1 1/√x2-1}=

1.  -1/x√(x2-1)

2.  1/x√(x2-1)

3.  2/(x√x2+1)

4.  -2/x√(x2+1)

4

-1/x√(x2-1)

Explanation :
No Explanation available for this question

# I: II:

1.  Only I is true

2.  Only II is true

3.  Both I and II are true

4.  Neither I nor II true

4