In a triangle ABC,if 3a = b+c, then cot (B/2) cot(C/2) is equal to

1.  1

2.  2

3.  3

4.  4

View Answer  
4
Correct Answer :

2


Explanation :
No Explanation available for this question

If a line makes angle π /3 and π /4 with the x-axis and y-axis respectively, then the angle made by the line with the z-axis is:

1.  π/2

2.  π/4

3.  5π/12

4.  π/3

View Answer  
4
Correct Answer :

π/3


Explanation :
No Explanation available for this question

In a triangle,if b = 20,c=21 and sinA=3/5,then 'a' is equal to

1.  12

2.  13

3.  14

4.  15

View Answer  
4
Correct Answer :

13


Explanation :
No Explanation available for this question

A tower subtends angles α,2α and 3α respectively at points A,B and C all lying on a horizontal line through the foot of the tower,then AB/AC is equal to

1.  (sin 3α)/(sin 2α)

2.  1+2 cos2α

3.  2 cos2α

4.  (sin 2α)/(sin α)

View Answer  
4
Correct Answer :

2 cos2α


Explanation :
No Explanation available for this question

If the foot of the perpendicular from (0, 0, 0) to the plane is (1, 2, 2), then the equation of the plane is:

1.  -x+2y+8z-9=0

2.  x+2y+2z-9=0

3.  x+y+z-5=0

4.  x+2y-3z+1=0

View Answer  
4
Correct Answer :

x+2y+2z-9=0


Explanation :
No Explanation available for this question

If P = (0, 1, 2), Q = (4, -2, 1), 0 = (0, 0, 0), then LPOQ is equal to:

1.  π/2

2.  π/4

3.  π/6

4.  π/3

View Answer  
4
Correct Answer :

π/2


Explanation :
No Explanation available for this question

A variable plane is at a constant distance h from the origin and meets the co-ordinate axes in A, B, C. Locus of centroid of ∆ABC is:

1.  x-2 + y-2 + z-2 = h-2

2.  x-2 + y-2 + z-2 = 4h-2

3.  x-2 + y-2 +z-2 = 16h-2

4.  x-2+y-2+z-2=9h-2

View Answer  
4
Correct Answer :

x-2+y-2+z-2=9h-2


Explanation :
No Explanation available for this question

The equation of the normal to the circle x2+y2+6x+4y-3 = 0 at (1, -2) is:

1.  y+1 = 0

2.  y+2 = 0

3.  y+3 = 0

4.  y-2 = 0

View Answer  
4
Correct Answer :

y+2 = 0


Explanation :
No Explanation available for this question

The limiting points of the co-axial system containing the two circles x2+y2+2x-2y+2 = 0 and 25(x2+y2)-10x-80y+65 = 0 are:

1.  (1, -1), (-3, -40)

2.  (1, -1), (-1/5, 8/5)

3.  (-1, 1), (1/5, 8/5)

4.  (-1/5, -8/5)

View Answer  
4
Correct Answer :

(-1, 1), (1/5, 8/5)


Explanation :
No Explanation available for this question

The radical axis of circles x2+y2+5x+4y-5 = 0 and x2+y2-3x+5y-6 = 0 is:

1.  8y-x+1 = 0

2.  8x-y+1 = 0

3.  8x-8y+1 = 0

4.  y-8x+1 = 0

View Answer  
4
Correct Answer :

8x-y+1 = 0


Explanation :
No Explanation available for this question
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