The type of conic sections for the nondegenerate equations given below.

a)

b)

c)

floymdiT
2020-10-18
Answered

The type of conic sections for the nondegenerate equations given below.

a)

b)

c)

You can still ask an expert for help

Bella

Answered 2020-10-19
Author has **81** answers

a) Consider the equation

This equation can be written as:

It is known that the equation is in the form of

Here, the coefficient of

Therefore, the equation is of a hyperbola. Hence, the conic section of the given equation is a hyperbola.

b) Consider the equation

This equation caan be written as:

Solve for

This shows that

c) Consider the equation

his equation can written as:

Therefore, the equation is of an ellipse. Hence, the conic section of the given equation is an ellipse.

asked 2021-08-15

To solve the given inequality and to write the solution set in interval notation.

asked 2021-01-31

Convert the following equations to its standard form and identify the vertex and focus.

$3{y}^{2}+8x+24y+40=0$

asked 2022-02-10

How do you find the eccentricity, directrix, focus and classify the conic section $r=\frac{2}{1+2\mathrm{cos}\theta}$ ?

asked 2021-08-10

To convert the given radical expression to its rational exponent form and then simplify

asked 2020-12-24

To determine: The conic section and to find the vertices and foci:

asked 2022-02-10

Where is the vertical directrix of a conic if the denominator of its polar equation has the form $1-e\mathrm{cos}q$ ?

asked 2022-04-23

Geometric meaning of $||z-{z}_{1}|-|z-{z}_{2}\mid \mid =a$ , where $z,{z}_{1},{z}_{2}\in \mathbb{C}$