# Why conic sections are important?

**Conic**sections are

**important**because they model

**important**physical processes in nature. It can be shown that any body under the influence of an inverse square law force must have a trajectory of one of the

**conic**sections.

A.

### How are parabolas used in the real world?

THE USES OF

**PARABOLAS**. Like the ellipse the**parabola**and its**applications**can be seen extensively in the**world**around us. The shape of car headlights, mirrors in reflecting telescopes and television and radio antennae are examples of the**applications**of**parabolas**.#### Why are parabolic mirrors used in car headlights?

**Parabolic reflectors are used**to collect energy from a distant source (for example sound waves or incoming star light). In optics,**parabolic mirrors are used**to gather light in reflecting telescopes and solar furnaces, and project a beam of light in flashlights, searchlights, stage spotlights, and car**headlights**.#### What is the use of parabola?

This reflective property is the basis of many practical uses of parabolas. The parabola has many important applications, from a parabolic antenna or parabolic microphone to automobile headlight reflectors to the design of**ballistic**missiles. They are frequently used in physics, engineering, and many other areas.#### What is meant by quadratic polynomial?

A**quadratic polynomial**is a**polynomial**of degree 2. A univariate**quadratic polynomial**has the form . An equation involving a**quadratic polynomial**is called a**quadratic**equation. A closed-form solution known as the**quadratic**formula exists for the solutions of an arbitrary**quadratic**equation.

B.

### Is a point a conic section?

A

**conic section**is the intersection of a plane and a cone. By changing the angle and location of intersection, we can produce a circle, ellipse, parabola or hyperbola; or in the special case when the plane touches the vertex: a**point**, line or 2 intersecting lines.#### Who is the guy that discovered conic sections?

Menaechmus#### Is an ellipse a circle?

A**Circle**is an**Ellipse**. In fact a**Circle**is an**Ellipse**, where both foci are at the same point (the center). In other words, a**circle**is a "special case" of an**ellipse**.**Ellipses**Rule!#### What is a degenerate conic section?

Plane figures that can be obtained by the intersection of a double cone with a plane passing through the apex. These include a point, a line, and intersecting lines. Like other**conic**sections, all**degenerate conic**sections have equations of the form Ax^{2}+ Bxy + Cy^{2}+ Dx + Ey + F = 0. See also.**Degenerate**.

C.

### Who is the guy that discovered conic sections?

Menaechmus

#### How do you find a zero of a parabola?

Step 3:**Find**the x-intercept(s). To**find**the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form). Step 4: Graph the**parabola**using the points found in steps 1 – 3.#### What is P and Q in quadratic equation?

y=a(x-p)(x-q) is intercept form of a**quadratic equation**. 'a' is a constant that cannot be 0. '**p' and 'q**' represent the x-intercepts. The x-intercepts are the points where the graph crosses the x-axis.#### How do you graph a circle?

Graphing a**circle**anywhere on the coordinate plane is pretty easy when its equation appears in center-radius form. All you do is plot the center of the**circle**at (h, k), and then count out from the center r units in the four directions (up, down, left, right). Then, connect those four points with a nice, round**circle**.

Updated: 2nd October 2019