Tangents are drawn to the circle x^2 + y^2=12 at the points where it is met by the circle x^2 +y^2 - 5x + 3y - 2=0.Find the point of intersection of these tangents.

Joshi sir comment

sovle the two eqs for x and y,

method : 

x^2 + y^2=12 

on putting this in 2nd eq. we get -5x+3y = -10 so x = (3y+10)/5

so [(3y+10)/5]+ y2= 12

now get y then x, then get the tangents in the first circle and then intersection point of the tangents.

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