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Ellipse question

2010 · Shift 2 · Q27
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Ellipse question

2010 · Shift 2 · Q27

JEE AdvancedMathematicsEllipseMCQ+4 / −1
Tangents are drawn from the point P(3,4)P(3, 4)P(3,4) to the ellipse x29+y24=1{{{x^2}} \over 9} + {{{y^2}} \over 4} = 19x2​+4y2​=1 touching the ellipse at points AAA and BBB. The coordinates of AAA and BBB are
  1. A
    (3,0)(3,0)(3,0) and (0,2)(0,2)(0,2)
  2. B
    (−85,216115)\left( { - {8 \over 5},{{2\sqrt {161} } \over {15}}} \right)(−58​,152161​​) and (−95,85)\left( { - {9 \over 5},{8 \over 5}} \right)(−59​,58​)
  3. C
    (−85,216115)\left( { - {8 \over 5},{{2\sqrt {161} } \over {15}}} \right)(−58​,152161​​) and (0,2)(0,2)(0,2)
  4. D
    (3,0)(3,0)(3,0) and (−95,85)\left( { - {9 \over 5},{8 \over 5}} \right)(−59​,58​)
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