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Hyperbola question

2022 · 28 Jun · Shift 2 · Q34

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JEE Main
Mathematics
Hyperbola
2022 · 28 Jun · Shift 2 · Q34

Hyperbola question

2022 · 28 Jun · Shift 2 · Q34

JEE MainMathematicsHyperbolaMCQ+4 / −1

Let a > 0, b > 0. Let e and l respectively be the eccentricity and length of the latus rectum of the hyperbola

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

. Let e' and l' respectively be the eccentricity and length of the latus rectum of its conjugate hyperbola. If

{e^2} = {{11} \over {14}}l

and

{\left( {e'} \right)^2} = {{11} \over 8}l'

, then the value of

77a + 44b

is equal to :

A
100
B
110
C
120
D
130

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