# 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

4

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

4

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

4

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

4

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

4

-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

4

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

4

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)

4

(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)

4

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

Explanation :
No Explanation available for this question

1.  2x-y-z=1

2.  x-y-z=1

3.  x-2y-z=1

4.  x-2y-2z=1

4