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Hyperbola question

2011 · Shift 2 · Q27

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PYQ Library
JEE Advanced
Mathematics
Hyperbola
2011 · Shift 2 · Q27

Hyperbola question

2011 · Shift 2 · Q27

JEE AdvancedMathematicsHyperbolaMCQ+3 / −0.75

Let

P(6, 3)

be a point on the hyperbola

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

. If the normal at the point

P

intersects the

x

-axis at

(9, 0)

, then the eccentricity of the hyperbola is

A
$\sqrt {{5 \over 2}}$
B
$\sqrt {{3 \over 2}}$
C
${\sqrt 2 }$
D
${\sqrt 3 }$

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