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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: Tangents are drawn to, the, hyperbola x29-y24 = 1 parallel to the straight line 2x – y – 1. One of the points of contact of tangents on the hyperbola is - Mathematics

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Question

Choose the correct alternative:

Tangents are drawn to, the, hyperbola `x^2/9 - y^2/4` = 1 parallel to the straight line 2x – y – 1. One of the points of contact of tangents on the hyperbola is

Options

  • `(9/(2sqrt(2)), (-1)/sqrt(2))`

  • `((9)/(2sqrt(2)), 1/sqrt(2))`

  • `(9/(2sqrt(2)), 1/sqrt(2))`

  • `(3sqrt(3), -2sqrt(2))`

MCQ

Solution

`(9/(2sqrt(2)), 1/sqrt(2))`

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Tangents and Normals to Conics
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Chapter 5: Two Dimensional Analytical Geometry-II - Exercise 5.6 [Page 216]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 5 Two Dimensional Analytical Geometry-II
Exercise 5.6 | Q 14 | Page 216

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