Position of a Point with Respect to Circle

Q. Point on the straight line x-y+1=0 , the tangents from which to the circle x2+y2-3x=0 are of length 2 units

Q. 24. The line y=x is tangent at (0, 0) to a circle of radius 1. The centre of the circle is _ABCABC has a void fraction of 0.26 _ABAB has. A void fraction of 0.32

Q. { 18. Consider the lines }2x-y=-1 and }x-2y=-5. The circle }}{ of radius }2 that lies completely in the first quadrant and }}{ is tangent to both lines has centre at the point }(a, b). The }}{ value of }(ab) is equal to

Q. A point inside the circle $x^2+y^2+3x-3y+2=0$ is

1. (-1, 3)
2. (-2, 1)
3. (2, 1)
4. (-3, 2)

Q. If $P$ is any arbitrary point on the circumcircle of the equilateral triangle of side length $l$ units then $|\overrightarrow{PA}{|}^2+|\overrightarrow{PB}{|}^2+|\overrightarrow{PC}{|}^2$ is always equal to

1. $2l^2$
2. $2\sqrt{3}{l}^2$
3. $l^2$
4. $3l^2$