6 identical coins are arranged on a row. The number of arrangements in which 4 are heads and 2 are tails is

1.  15

2.  120

3.  17!

4.  150

View Answer  
4
Correct Answer :

15


Explanation :
No Explanation available for this question

he locus of the point (2secα cosβ, 2secα sinβ, 2tanα) is

1.  x2+y2-z2=4

2.  x2+y2+z2=4

3.  x2+y2-z2=r2

4.  x2-y2+z2=r2

View Answer  
4
Correct Answer :

x2+y2-z2=4


Explanation :
No Explanation available for this question

The  coordinates of the point (3,-7,5) in the new system when the origin is shifted to (-1,-1,-1) is

1.  (4,-6,6)

2.  (4,6,6)

3.  (6,6,6)

4.  (4,4,4)

View Answer  
4
Correct Answer :

(4,-6,6)


Explanation :
No Explanation available for this question

The point to which the axes should be translated to eliminate first degree terms in the equation 2x2-2y2+z2-4x+8y+2z-5=0 is

1.  (1,2,1)

2.  (1,2,-1)

3.  (-1,2,1)

4.  (1,-2,1)

View Answer  
4
Correct Answer :

(1,2,1)


Explanation :
No Explanation available for this question

The points (-2,3,5) , (1,2,3), (7,0,-1) are collinear: II: The points (2,-1,1) ,(1,-3,-5), (3,-4,-4) form an equilateral triangle

1.  only I is true

2.  only II is true

3.  both I and II are true

4.  neither I and II are true

View Answer  
4
Correct Answer :

only I is true


Explanation :
No Explanation available for this question

I: The ratio in which (2,3,4) divides the line segment joining(3,-2,2), (6,-17,-4) is 1:4 externally II: The ratio in which xy-plane divides the l

1.  only I is true

2.  only II is true

3.  both I and II are true

4.  neighter I and II are true

View Answer  
4
Correct Answer :

both I and II are true


Explanation :
No Explanation available for this question

A(3,4,5), B(2,3,1), C(-1,6,1) are the vertices of a triangle then I: The circumcentre of triangle ABC is (1,5,3)

1.  only T is true

2.  only II is true

3.  both I and II are true

4.  neighter I and II are true

View Answer  
4
Correct Answer :

both I and II are true


Explanation :
No Explanation available for this question

The descending order of the distances between the points A. (0,0,0), (cos,sin,1)

1.  A,B,C,D

2.  C,D,B,A

3.  C,B,D,A

4.  B,C,D,A

View Answer  
4
Correct Answer :

C,D,B,A


Explanation :
No Explanation available for this question

The number of ways that 12 prizes can be divided among 4 students so that each may have 3 prizes is

1.  15,400

2.  15,300

3.  15,151

4.  369600

View Answer  
4
Correct Answer :

369600


Explanation :
No Explanation available for this question

In ABC where A(4,5,6), B(3,2,1), C(5,4,3), if p,q,r are lengths of the medians through A,B,C then ascending order of p,q,r is

1.  p,q,r

2.  q,p,r

3.  r,p,q

4.  r,q,p

View Answer  
4
Correct Answer :

q,p,r


Explanation :
No Explanation available for this question
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