Answer:
Option A
Explanation:
Equation of hyperbola is
3x2-2y2=6
⇒ x22−y23=1
So, a2 =2 and b2=3
Given, equation of line is x-3y=3
∴ Slope of given line = 13
∴ Slope of line perpendicular to given line, m=-3
The equation of tangents are
y=mx±√a2m2−b2
=−3x±√2×9−3
=−3x±√18−3
=−3x±√15