Help in circles

[deathracer26]

ok now i have thisproblem for many days please help i'm quoting the question-
"PP' and QQ'are two direct common tangents to circle to two circles with centre O and O'intersecting at A ad B .The common chord AB on producing meets the tangents PP'at R and QQ' at S .Show that RS² =PP'² +AB². "

 

[Deleted member 4993]

ok now i have thisproblem for many days please help i'm quoting the question-
"PP' and QQ'are two direct common tangents to circle to two circles with centre O and O'intersecting at A ad B .The common chord AB on producing meets the tangents PP'at R and QQ' at S .Show that RS² =PP'² +AB². "
View attachment 1716

Hint:

If you join OO', it will be a perpendicular bisector of AB.

 

[deathracer26]

Hint:

If you join OO', it will be a perpendicular bisector of AB.

I have tried that ,does it has something to do with the tangent secant relation/equation.