1.

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:

A. \(\frac{x}{a}\sec \phi - \frac{y}{b}\tan \phi = 1\)
B. \(\frac{x}{a}\sec \phi - \frac{y}{b}\tan \phi = 0\)
C. \(\frac{x}{a}\sec \phi + \frac{y}{b}\tan \phi = 0\)
D. \(\frac{x}{{{a^2}}}\sec \phi - \frac{y}{{{b^2}}}\tan \phi = 0\)
Answer» B. \(\frac{x}{a}\sec \phi - \frac{y}{b}\tan \phi = 0\)


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