# The value of x, where x > 0 and tan ( sec-1(1/x ) )= sin ( tan-1 2) is

1.  √5

2.  √5 / 3

3.  1

4.  2 /3

4

&#8730;5 / 3

Explanation :
No Explanation available for this question

# sec h-1 (sin θ) is equal to

1.  log tan ( θ/2 )

2.  log sin ( θ/2 )

3.  log cos ( θ/2 )

4.  log cot ( θ/2 )

4

log cot ( &#952;/2 )<br>

Explanation :
No Explanation available for this question

# If two angles of ∆ ABC are 45o and 60o, then the ratio of the smallest and the greatest sides are

1.  (√3-l) : 1

2.  √3:√2

3.  1 : √3

4.  √3: 1

4

1 : &#8730;3

Explanation :
No Explanation available for this question

# In ∆ ABC, ( a + b + c ) ( tan (A/2) + tan (B/2) ) is equal to

1.  2c cot (C/2)

2.  2a cot (A/2)

3.  2b cot (B/2)

4.  tan (C/2)

4

2c cot (C/2)

Explanation :
No Explanation available for this question

# In ∆ ABC, with usual notation, observe the two statements given below I. rr1r2r3 = ∆2II.r

1.  Both I and II are true

2.  I is true II is false

3.  I is false II is true

4.  Both I and II are false

4

Both I and II are true

Explanation :
No Explanation available for this question

# The angle of elevation of an object from a point P on the level ground is α. Moving d metres on the ground towards the object, the angle of elevation is found to be β. Then the height (in metres) of the objec

1.  d tan α

2.  d cot β

3.  d / (cot α + cot β)

4.  d / (cot α - cot β)

4

d / (cot &#945; - cot &#946;)

Explanation :
No Explanation available for this question

# If the points whose position vectors are ,

1.  2

2.  4

3.  6

4.  8

4

4

Explanation :
No Explanation available for this question

# The ratio in which divides the join of

1.  2:1

2.  2:3

3.  3:4

4.  1:4

4

2:1

Explanation :
No Explanation available for this question

# If a = i^ - j^ -k^ and b = + λ i^ - 3 j^ + k^ and the orthogonal &

1.  0

2.  2

3.  12

4.  -1

4

2

Explanation :
No Explanation available for this question

1.  4

2.  2/3

3.  1/6

4.  1/3

4