engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Parabola, Ellipse and Hyperbola Hyperbola
The equation of the tangent at the point (a sec ϕ, b tan ϕ) to the hyperbola \(\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1\) is:
1
\(\frac{x}{a}\sec \phi - \frac{y}{b}\tan \phi = 1\)
2
\(\frac{x}{a}\sec \phi - \frac{y}{b}\tan \phi = 0\)
3
\(\frac{x}{a}\sec \phi + \frac{y}{b}\tan \phi = 0\)
4
\(\frac{x}{{{a^2}}}\sec \phi - \frac{y}{{{b^2}}}\tan \phi = 0\)