Radical Axis

Q.

The length of common chord of the circles $(x-a{)}^2+y^2$ =$a^2$ and $x^2+(y-b{)}^2$ = $b^2$ is

1. 

2. 

3. 

4. 

Q.

The equation of the common chord of the circles $(x-a{)}^2+(y-b{)}^2=c^2$ and $(x-b{)}^2+(y-a{)}^2=c^2$ is

1. 

2. 

3. 

4. 

Q.

If the circles $x^2+y^2+2ax+cy+a=0and{x}^2+y^2-3ax+dy-1=0$ interesect in two distinct points P andn Q then the line 5x + by - a = 0 passes through P and Q for
(2005)

1. exactly on value of a

2. no value of a

3. infinitely many values of

4. exactly two value of a

Q.

Two circles, each of radius 5 units, touch each other at (1, 2). If the equation of their common tangent is 4x + 3y – 10 = 0 then equation of one such circle is

1. 

2. 

3. 

4. 

Q. If a variable line y = 2x + p lies between the circles $x^2+y^2-2x-2y+1=0$ and $x^2+y^2-16x-2y+61=0$ without intersecting or touching either circles, then number of integral values of p is

1. 9
2. 8
3. 7
4. 6

Q.

The equation of the common chord of the circles $(x-a{)}^2+(y-b{)}^2=c^2$ and $(x-b{)}^2+(y-a{)}^2=c^2$ is

1. 

2. 

3. 

4. 

Q. If a variable line y = 2x + p lies between the circles $x^2+y^2-2x-2y+1=0$ and $x^2+y^2-16x-2y+61=0$ without intersecting or touching either circles, then number of integral values of p is

1. 9
2. 8
3. 7
4. 6