# The condition for the coaxial system x2+y2+2λx+c=0,where λ is a parameter and c is a constant,to have distinct limiting points is

1.  c=0

2.  c

3.  c=-1

4.  c>0

4

c>0

Explanation :
No Explanation available for this question

# If two circles(x-3) 2+(y-1)2=r2 and x2+y2-6x+4y+4=0 intersect in two distinct points then

1.  r

2.  r>4

3.  r

4.  r>0

4

r>0

Explanation :
No Explanation available for this question

# A straight line x/a+y/b=1 moves such that 1/a2+1/b2+1/c2(c is constant).Then the locus of the foot of the perpendicular drawn from(0,0) to the given line is

1.  x2+y2=c2

2.  x2+y2=1/c2

3.  x2+y2=2c2

4.  x2+y2=4c2

4

x2+y2=c2

Explanation :
No Explanation available for this question

# If (1,2),(4,3) are the limiting points of coaxial system,then the equation of the circle in its conjugate system having minimum area is

1.  x2+y2-5x-5y+10=0

2.  x2+y2-8x-6y+25=0

3.  x2+y2-2x-2y+10=0

4.  x2+y2+5x+5y-10=0

4

x2+y2-5x-5y+10=0

Explanation :
No Explanation available for this question

# A regular polygon of 9 sides where length of each side is 2 is inscribed in a circle.The radius of the circle is

1.  sec π/9

2.  cosec π/9

3.  cot π/9

4.  tan π/9

4

cosec π/9

Explanation :
No Explanation available for this question

# O is the origin and Ax(xk,yk) where k=1.2 are two points.If the circles are described on OA1 and OA2 as diameters,then the length of their common chord is equal to

1.  |x1y1-x2y1|

2.  1/2|x1y2-x2y1|

3.  (1/2)A1A2

4.  |x1y1-x2y1|/ A1A2

4

|x1y1-x2y1|/ A1A2

Explanation :
No Explanation available for this question

# The distance of the point (1,2) from the common chord of the circles x2+y2-2x-6y-6=0 and x2+y2+6x-16=0 is

1.  1

2.  1/5

3.  5

4.  2

4

1

Explanation :
No Explanation available for this question

# If the line y=mx passes outside the circle x2+y2-10x+16=0,then the value of m is given by

1.  m=3/4

2.  |m|=3/4

3.  |m|>3/4

4.  |m|

4

|m|>3/4

Explanation :
No Explanation available for this question

# The radical axis of two touching circles divides the line segment joining the centres of circles in the ratio of their

1.  Areas

3.  1:1

4.  1:2

4

Explanation :
No Explanation available for this question

1.  2√11

2.  5√5

3.  13

4.  4√5

4