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Ellipse question

2010 · Shift 2 · Q28

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PYQ Library
JEE Advanced
Mathematics
Ellipse
2010 · Shift 2 · Q28

Ellipse question

2010 · Shift 2 · Q28

JEE AdvancedMathematicsEllipseMCQ+4 / −1

Tangents are drawn from the point

P(3, 4)

to the ellipse

{{{x^2}} \over 9} + {{{y^2}} \over 4} = 1

touching the ellipse at points

A

and

B

. The orthocentre of the triangle

PAB

is

A
$\left( {5,{8 \over 7}} \right)$
B
$\left( {{7 \over 5},{{25} \over 8}} \right)$
C
$\left( {{11 \over 5},{{8} \over 5}} \right)$
D
$\left( {{8 \over 25},{{7} \over 5}} \right)$

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