The correct option is B 90∘
Given parabola is
(x−2)2+(y−3)2=(3x+4y−5)225
General equation of parabola whose focus is (α,β) and directix equation ax+by+c=0 is
(x−α)2+(y−β)2=(ax+by+c)2a2+b2
Comparing the given parabola, we get
FocusS≡(α,β)≡(2,3)
Equation of directrix as
3x+4y−5=0
Given line is 3x−y−3=0, which passes through (2,3)
So, the given chord is a focal chord
Therefore, the tangents drawn at the extremities of focal chord are perpendicular.