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Hyperbola question

2024 · 1 Feb · Shift 1 · Q43

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JEE Main
Mathematics
Hyperbola
2024 · 1 Feb · Shift 1 · Q43

Hyperbola question

2024 · 1 Feb · Shift 1 · Q43

JEE MainMathematicsHyperbolaMCQ+4 / −1

For

0\lt \theta\lt \pi / 2

, if the eccentricity of the hyperbola

x^2-y^2 \operatorname{cosec}^2 \theta=5

is

\sqrt{7}

times eccentricity of the ellipse

x^2 \operatorname{cosec}^2 \theta+y^2=5

, then the value of

\theta

is :

A
$\frac{\pi}{6}$
B
$\frac{5 \pi}{12}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{4}$

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