Question

How do we identify the given Equation is hyperbola , parabola , circle , ellipse etc Without finding h², ab , delta What is the form of those Equations Explain it clearly​

Answer 1

Ellipse

The only difference between the circle and the ellipse is that in an ellipse, there are two radius measures, one horizontally along the x-axis, the other vertically along the y-axis. Clearly, for a circle both these have the same value. By convention, the y radius is usually called b and the x radius is called a.

Hyperbola

How To: Given the equation of a hyperbola in standard form, locate its vertices and foci.

Solve for a using the equation a=√a2 a = a 2 .

Solve for c using the equation c=√a2+b2 c = a 2 + b 2 .

Answer 2

Answer:

Step-by-step explanation:

The general equation of conic is given by

1. Its represents a Circle, if

and

2. Its represents an ellipse if

3. It represents Hyperbola if

4. It represents Parabola if

The general equations in standard form is given as

1. For circle

where,

2. For ellipse

3. For Hyperbola

or

4. For Parabola with horizontal axis

or

Parabola with vertical axis

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