Identify the type of conic section for the equation. 3x2 + 2y2 = 14 - Mathematics

Identify the type of conic section for the equation.

3x² + 2y² = 14

Sum

Comparing this equation with the general equation of the conic

Ax² + Bxy + Cy² + Dx + Ey + F = 0

We get A ≠ C also C are of the same sign.

So the given conic is an ellipse.

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Conic Sections

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

Chapter 5 Two Dimensional Analytical Geometry-II
Exercise 5.3 | Q 3 | Page 199

Identify the type of conic section for the equation.

2x² – y² = 7

Identify the type of conic section for the equation.

3x² + 3y² – 4x + 3y + 10 = 0

Identify the type of conic section for the equation.

x² + y² + x – y = 0

Identify the type of conic section for the equation.

11x² – 25y² – 44x + 50y – 256 = 0

Identify the type of conic section for the equation.

y² + 4x + 3y + 4 = 0

Choose the correct alternative:

The area of quadrilateral formed with foci of the hyperbolas `x^2/"a"^2 - y^2/"b"^2` = 1 and `1x^2/"a"^2 - y^2/"b"^2` = – 1

If a circle passes through the point (a, b) and cuts the circle x² + y² = 4 orthogonally, then the locus of its centre is ______.