Parametric coordinates of any point lying on hyperbola x2a2-y2b2-1 arePa - b tan-

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Question

Parametric coordinates of any point lying on hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ are

$P (a sec θ, b tan θ) .$

False

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\frac{(x - h)^{2}}{a^{2}} - \frac{(y - k)^{2}}{b^{2}} = 1

(h + a sec θ, k + b tan θ) .

x^{2} - y^{2} = a^{2}

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

(a sec θ, b tan θ)

(a sec ϕ, b tan ϕ)

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

tan \frac{θ}{2} tan \frac{ϕ}{2} =

y = m x + \sqrt{a^{2} m^{2} - b^{2}}

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

P (a sec θ, b tan θ)

θ

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