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Ellipse question

2010 · Shift 2 · Q29

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PYQ Library
JEE Advanced
Mathematics
Ellipse
2010 · Shift 2 · Q29

Ellipse question

2010 · Shift 2 · Q29

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 equation of the locus of the point whose distances from the point

P

and the line

AB

are equal, is

A
$9{x^2} + {y^2} - 6xy - 54x - 62y + 241 = 0$
B
${x^2} + 9{y^2} + 6xy - 54x + 62y - 241 = 0$
C
$9{x^2} + 9{y^2} - 6xy - 54x - 62y - 241 = 0$
D
${x^2} + {y^2} - 2xy + 27x + 31y - 120 = 0$

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