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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Identify the type of conic section for the equation. 2x2 – y2 = 7 - Mathematics

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Question

Identify the type of conic section for the equation.

2x2 – y2 = 7

Sum

Solution

Comparing this equation with the general equation of the conic

Ax2 + Bxy + Cy2 + Dx + Ey + F = 0

We get A = 2, C = – 1

Elere A ≠ C also A and C are of opposite signs.

So the conic is a hyperbola.

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Conic Sections
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Chapter 5: Two Dimensional Analytical Geometry-II - Exercise 5.3 [Page 199]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 5 Two Dimensional Analytical Geometry-II
Exercise 5.3 | Q 1 | Page 199
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