The radii of two circles are 2 units and 3 units.If the radical axis of the circles cuts one of the common tangents of the circles in P then ratio in which P divides the common tangent is

1.  1:1

2.  3:2

3.  4:9

4.  2:3

View Answer  
4
Correct Answer :

1:1


Explanation :
No Explanation available for this question

Observe the following statements: I:The lengths of the tangents from any point on the line 2x+3y=5 to the circles x2+y2

1.  Neither I nor II

2.  Both I and II

3.  Only I

4.  Only II

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4
Correct Answer :

Both I and II


Explanation :
No Explanation available for this question

If 3,4 are the radii and 5 is the distance between the centres of two orthogonal circles then the length of the common chord of the circles is

1.  5/24

2.  24/5

3.  24/25

4.  12/5

View Answer  
4
Correct Answer :

24/5


Explanation :
No Explanation available for this question

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

1.  8

2.  5

3.  3

4.  1

View Answer  
4
Correct Answer :

8


Explanation :
No Explanation available for this question

The locus of the centre of a circle which cuts the circles 2x2+2y2-x-7=0 and 4x2+4y2-3x-y=0 orthogonally is a straight line whose slope is

1.  -5/2

2.  -2

3.  1

4.  -1

View Answer  
4
Correct Answer :

-1


Explanation :
No Explanation available for this question

In n (n≥3) circles the centres of no three circles are collinear.If the number of the radical axes of the circles is equal to the number of the radical centres of the circles then n2-4n-5=

1.  7

2.  50

3.  0

4.  5

View Answer  
4
Correct Answer :

0


Explanation :
No Explanation available for this question

The polars of a fixed point with respect to a coaxial system of circle are

1.  Coincident

2.  Concurrent

3.  Perpendicular

4.  Parallel

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4
Correct Answer :

Concurrent


Explanation :
No Explanation available for this question

If (0,0) is one limiting point of the coaxial system with radical axis x+y=1,then the other limiting point is

1.  (1,1)

2.  (-1,-1)

3.  (1,-1)

4.  (-1,1)

View Answer  
4
Correct Answer :

(1,1)


Explanation :
No Explanation available for this question

Limiting points of the coaxial system determined by the circles x2+y2+14x-8y-5=0, x2+y2+4x+2y+5=0 are

1.  (2,1),(0,-3)

2.  (-2,-1),(0,3)

3.  (-2,-1),(0,-3)

4.  (0,-3), (2,1)

View Answer  
4
Correct Answer :

(-2,-1),(0,-3)


Explanation :
No Explanation available for this question

The intersection of the sphere x2+y2+z2-3x+3y+4z=8 is the same as the intersection of one of the sphere and the plane

1.  2x-y-z=1

2.  x-y-z=1

3.  x-2y-z=1

4.  x-2y-2z=1

View Answer  
4
Correct Answer :

2x-y-z=1


Explanation :
No Explanation available for this question
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