Consider the given equation of hyperbola. 3x2−y2=3
x2
1
−
y2
3
=1 The equation of tangent passing through the hyperbola is, y=mx±√m2−3 The tangent is parallel to line y=2x+4 Therefore, they have equal slope. Hence, y=2x±√4−3 y=2x±1 Therefore, required distance between the tangent is, Distance =