The angle between the tangents drawn at the points `(5,12)` and `(12,- – InterviewSolution

1.	The angle between the tangents drawn at the points `(5,12)` and `(12,-5)` to the circle `x^2+y^2=169` is:
Answer» `x^2+ y^2=169` Differentiating w.r.t x `2x+ 2ydy/dx=0` `dy/dx= -x/y` `dy/dx at (5,12)=-5/12=m1` `dy/dx at (12,-5)= 12/5=m2` As, `m1*m2=(-5/12)(12/5)=-1`So, Angle between tangents= `pi/2`

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