Tan[1/2 cos-1(√5/3)] =

1.  

2.  

3.  

4.  

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question

If the line x+y+1=0 touches the circle x2+y2-3x+7y+14=0, then the point of contact is

1.  (1, 0)

2.  (2, -3)

3.  (5, 2)

4.  (-1, 0)

View Answer  
4
Correct Answer :

(2, -3)


Explanation :
No Explanation available for this question

1.  π

2.  2π

3.  4π

4.  none

View Answer  
4
Correct Answer :

2π


Explanation :
No Explanation available for this question

If the tangent to the circle x2+y2=5 at (1, -2) also touches the circle x2+y2-8x+6y+20=0, then the point of contact is

1.  (1, 0)

2.  (3, -1)

3.  (5, 2)

4.  (-1, 0)

View Answer  
4
Correct Answer :

(3, -1)


Explanation :
No Explanation available for this question

The line y=x+a√2 touches the circle x2+y2=a2 at P. The coordinates of P are

1.  (a, a)

2.  (a/2, a/2)

3.  (a/√2, a/√2)

4.  (-a/√2, a/√2)

View Answer  
4
Correct Answer :

(-a/√2, a/√2)


Explanation :
No Explanation available for this question

The length of the tangent from a point on the circle x2+y2+2gx+2fy+c=0 to the circle x2+y2+2gx+2fy+c’=0 is

1.  √c-c1

2.  √c+c1

3.  √c1-c

4.  c-c1

View Answer  
4
Correct Answer :

√c1-c


Explanation :
No Explanation available for this question

The length of the tangent from a point on the circle x2+y2+4x-6y-12=0 to the circle x2+y2+4x-6y+4=0 is

1.  4

2.  12

3.  16

4.  8

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

The length of the tangent from the point (-1, 1) to the circle x2+y2-4x+k=0 is equal to 2 then k=

1.  1

2.  2

3.  -2

4.  -5

View Answer  
4
Correct Answer :

-2


Explanation :
No Explanation available for this question

1.  

2.  

3.  

4.  none

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question

If tan2 θ+tan θ-2=0 then θ=

1.  nπ/3+ π/9 :nεZ

2.  nπ/3+π/12:n ε Z

3.  nπ/3+ (-1)n  :n εZ

4.  nπ+π/4:n εZ

View Answer  
4
Correct Answer :

nπ+π/4:n εZ


Explanation :
No Explanation available for this question
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