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

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4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

|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

View Answer  
4
Correct Answer :

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|

View Answer  
4
Correct Answer :

|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

2.  Radii

3.  1:1

4.  1:2

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4
Correct Answer :

Radii


Explanation :
No Explanation available for this question

If p and q be the longest distance and shortest distance respectively of the point(-7,2) from any point (α,β) on the curve whose equation is x2+y2-10x-14y-51=0 then G.M of p and q is

1.  2√11

2.  5√5

3.  13

4.  4√5

View Answer  
4
Correct Answer :

2√11


Explanation :
No Explanation available for this question
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