# If cosh-1 x = loge (2+√3), then x is equal to

1.  1

2.  2

3.  3

4.  5

4

2

Explanation :
No Explanation available for this question

# If in a ΔABC, a, b, c are in AP then tan A/2 tan C/2 is equal to

1.  3

2.  4

3.  1/4

4.  1/3

4

1/3

Explanation :
No Explanation available for this question

# If in a ΔABC, cos A + cos B + cos C is equal to

1.  1 + r/R

2.  1 - r/R

3.  1 - R/r

4.  1 + R/r

4

1 + r/R

Explanation :
No Explanation available for this question

# In a ΔABC, r1+ r2- r3-r is equal to

1.  4R cos A

2.  4R cos B

3.  4R cos C

4.  4R

4

4R cos B

Explanation :
No Explanation available for this question

# If two towers of height h1 and h2 subtend angles 600 and 300 respectively at the mid point of the line Joining their feet, then h1

1.  1: 2

2.  1: 3

3.  2 : 1

4.  3 : 1

4

3 : 1

Explanation :
No Explanation available for this question

# A straight rod of length 9 units slides with its ends. A and B always on the x and y axis respectively, then the locus of the centroid of ΔOAB is:

1.  x2 + y2=3

2.  x2 + y2=9

3.  x2 + y2=1

4.  x2 + y2=81

4

x2 + y2=9

Explanation :
No Explanation available for this question

# The vertices of a triangle are (6, 6), (0, 6) and (6, 0) the distance between its circumcentre and centroid is:

1.  2√2

2.  2

3.  √2

4.  1

4

√2

Explanation :
No Explanation available for this question

# If the point [x1+t(x2-x1), y1+t (y2-y1)] divides the join of the (x1, y1) and (x2, y2) internally then :

1.  t < 0

2.  0 < t < 1

3.  t > 1

4.  t =1

4

0 < t < 1

Explanation :
No Explanation available for this question

# If the points (1,2) and (3,4) were to be on the same side of the line 3x-5y+a = 0, then

1.  7 < a < 11

2.  a = 7

3.  a =11

4.  1 < 7 or a > 11

4

1 < 7 or a > 11

Explanation :
No Explanation available for this question

# The co-ordinate of the image of the origin 0 with respect to the straight line x + y+ 1=0 is

1.  (-1/2 , -1/2)

2.  (-2, -2)

3.  (1, 1)

4.  (-1, -1)

4