# If the number of common tangents of the circles x2+y2+8x+6y+21=0, x2+y2+2y-15=0 are 2,then the point of their intersection is

1.  (-4,-3)

2.  (-8,-5)

3.  (8,-5)

4.  (8,5)

4

(-8,-5)

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.  -1

2.  1

3.  -2

4.  5/2

4

-1

Explanation :
No Explanation available for this question

# 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.  2:3

2.  3:2

3.  4:9

4.  1:1

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=9 and x2+y2+4x+6y=19

1.  Only I

2.  Only II

3.  Both I and II

4.  Neither I nor II

4

Both I and II

Explanation :
No Explanation available for this question

# If radii of two circles are 4 and 3 and distance between centres is √37 then the angle between the circles is

1.  300

2.  450

3.  600

4.  900

4

600

Explanation :
No Explanation available for this question

# If the circles of same radius a and centres at (2,-3)(5,6) cut orthogonally thn a=

1.  4

2.  4√2

3.  3√5

4.  3

4

3√5

Explanation :
No Explanation available for this question

# A:The circles S=0,S1=0 intersect each other,then the radical axis is S-S1=0 R:The radical axis is perpendicular to the line of ce

1.  Both A and R are true and R is the correct explanation of A

2.  Both A and R are true and R is not the correct explanation of A

3.  A is true but R is false

4.  A is false but R is true

4

Both A and R are true and R is not the correct explanation of A

Explanation :
No Explanation available for this question

# 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.  2:3

2.  3:2

3.  4:9

4.  1:1

4

1:1

Explanation :
No Explanation available for this question

# The slope of the radical axis of the circles (x+2) 2+(y+3)2=25 and (x+1) 2+(y-1) 2=25 is

1.  -1/4

2.  1/4

3.  -4

4.  -1/2

4

-1/4

Explanation :
No Explanation available for this question

1.  1

2.  2

3.  -1

4.  -2

4