Radical Axis

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.

In the given figure chord AB extended meets tangent DC at C. If AB = 7cm and BC =9 cm and area of $△CBD=18c{m}^2$,

then find the area of $△CAD.$

Q. Two circles of radii $3,4$ intersect orthogonally. Then the length of the common chord is

1. $\frac{12}{5}$
2. $\frac{24}{25}$
3. $\frac{25}{24}$
4. $\frac{24}{5}$