Intersection of two perpendicular tangents to the hyperbola \(\frac{x^2}{4}-\frac{y^2}{2}=1\) lies on the…
Intersection of two perpendicular tangents to the hyperbola \(\frac{x^2}{4}-\frac{y^2}{2}=1\) lies on the circle \(x^2+y^2=\ldots \ldots \ldots\)
2
12
\(\sqrt{2}\)
\(2 \sqrt{3}\)
Solution
Locus of point of intersection of perpendicular tangents to hyperbola \(\frac{x^2}{4}-\frac{y^2}{2}=1\) is the director circle \(x^2+y^2=4-2=2\)
Hence, option (a) is correct.