# If the points (0,0),(2,0),(0,4),(1,k) are concyclic then k2-4k=

1.  -1

2.  1

3.  0

4.  -3

4

1

Explanation :
No Explanation available for this question

# If the circles x2+y2=4 and x2+y2-6x-8y+K=0 touch internally then K=

1.  -24

2.  24

3.  17

4.  10

4

-24

Explanation :
No Explanation available for this question

# If the line x=3y+13 intersects the circle x2+y2-4x+4y+3=0 then the square of length of the chord is

1.  √10

2.  10

3.  √(5/2)

4.  (5/2)

4

10

Explanation :
No Explanation available for this question

# The number of circles which touch all the 3 lines x+y=1,x-y=1 and 2x+3y+4=0 is

1.  2

2.  1

3.  3

4.  4

4

4

Explanation :
No Explanation available for this question

# If the tangents form (g,f) to the circle x2+y2+2gx+2fy+c=0 are perpendicular then g2+f2=

1.  c

2.  2c

3.  -c

4.  -2c

4

-c

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

# The equation of the tangent to the circle x2+y2=a2 which makes a triangle of area a2 with the coordinate axes is

1.  x+y=2a

2.  x+y=a√2

3.  y=x-2a

4.  x-y=√2a

4

x+y=a√2

Explanation :
No Explanation available for this question

# If S1=0,S2=0 and S3=0 are the three circles whose radical centre is the point P,then lengths l1,l2,l3 of the tangents from P to the three circles are such that

1.  l1=2l2=3l3

2.  l1=l2=l3

3.  l1≠l2≠l3

4.  l1=l2≠l3

4

l1=l2=l3

Explanation :
No Explanation available for this question

# If the tangents to the circle at (p,q)and (r,s) are parallel then

1.  pr-qs=0

2.  p2+q2=r2+s2

3.  ps-qr=0

4.  p+s=q+r

4

ps-qr=0

Explanation :
No Explanation available for this question

1.  x=7 or-3

2.  x=-7 or 3

3.

4.

4