The correct option is D sum of the squares of the slopes of the two tangents is 154
For the given circle, C=(4,−3),r=√5
Let the equation of any tangent be
Applying condition for tangency,
(m1,m2 are the slopes of two tangents)
⇒ Angle between the tangents is π2
Equation of tangents are x−2y−5=0 and 2x+y=0 (from (1))
2x+y=0 is passing through the origin.