defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Parabola, Ellipse and Hyperbola Hyperbola
A variable chord PQ, x cos θ + y sin θ = p of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{2 a^2}\) = 1, subtends a right angle at the origin. This chord will always touch a circle whose radius is
1
a
2
\(\frac{a}{\sqrt{2}}\)
3
\(a\sqrt{2}\)
4
\(2 a \sqrt{2}\)