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IIT JEE Advanced 2010 Paper 2

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Paragraph for Questions 53–55:
Tangents are drawn from the point P(3, 4) to the ellipse

x2

9

+

y2

4

= 1 touching the ellipse at points A and B.

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Question : 53

Total: 57

The coordinates of A and B are

[JEE Adv 2010 P2]

(3 , 0) and (0 , 2).
(−
8
5
,
2√161
15
) and (−
9
8
,
8
5
).
(−
8
5
,
2√161
15
) and (0 , 2).
(3 , 0) and (−
9
5
,
8
5
).

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