If eccentricity of the hyperbola cos2θx2−sin2θy2=1 is move than 2 when θ∈(0,2π). Find the possible values of length of latus rectum (a) (3,∞) (b) 1,3/2) (c) (2,3) (d) (−3,−2)

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Question

If eccentricity of the hyperbola $\frac{x ^{2}}{cos ^{2} θ} - \frac{y ^{2}}{sin ^{2} θ} = 1$ is move than $2$ when $θ \in (0, \frac{π}{2})$ . Find the possible values of length of latus rectum (a) $(3, \infty)$ (b) $1, 3 / 2)$ (c) $(2, 3)$ (d) $(- 3, - 2)$

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If eccentricity of the hyperbola

\frac{x ^{2}}{cos ^{2} θ} - \frac{y ^{2}}{sin ^{2} θ} = 1

is move than

2

when

θ \in (0, \frac{π}{2})

. Find the possible values of length of latus rectum (a)

(3, \infty)

(b)

1, 3 / 2)

(c)

(2, 3)

(d)

(- 3, - 2)

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Question Text

If eccentricity of the hyperbola

\frac{x ^{2}}{cos ^{2} θ} - \frac{y ^{2}}{sin ^{2} θ} = 1

is move than

2

when

θ \in (0, \frac{π}{2})

. Find the possible values of length of latus rectum (a)

(3, \infty)

(b)

1, 3 / 2)

(c)

(2, 3)

(d)

(- 3, - 2)