The standard form of equation of a conic section is **Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0**, where A, B, C, D, E, F are real numbers and A ≠ 0, B ≠ 0, C ≠ 0. If B^2 – 4AC < 0, then the conic section is an ellipse.

The study of conic sections is important **not only for mathematics, physics, and astronomy, but also for a variety of engineering applications**. The smoothness of conic sections is an important property for applications such as aerodynamics, where a smooth surface is needed to ensure laminar flow and prevent turbulence.

In a non-degenerate conic **the plane does not pass through the vertex of the cone**. When the plane does intersect the vertex of the cone, the resulting conic is called a degenerate conic. Degenerate conics include a point, a line, and two intersecting lines.

It's a conic section **because it is a shape you can get by cutting a cone**. The diameter of a circle, the distance from one edge of a circle to the opposite side going through the center, is a circle's most important measurement.

In Mathematics, the conic sections are called the conic section **because the curves are formed by the intersection of the right circular cone with the plane surface**. Depending on the angle of intersection, the different types of conics formed are: Parabola. Ellipse.

**The circle is the simplest and best known conic section**. As a conic section, the circle is the intersection of a plane perpendicular to the cone's axis.

The central conics are **the circle, the ellipse, and the hyperbola**.

The standard form of equation of a conic section is **Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0**, where A, B, C, D, E, F are real numbers and A ≠ 0, B ≠ 0, C ≠ 0. If B^2 – 4AC < 0, then the conic section is an ellipse.

When working with circle conic sections, we can derive the equation of a circle by using coordinates and the distance formula. The equation of a circle is **(x - h) ^{2} + (y - k)^{2} = r^{2}** where r is equal to the radius, and the coordinates (x,y) are equal to the circle center.

In mathematics, a conic section (or simply conic) is **a curve obtained as the intersection of the surface of a cone with a plane**. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type.

Man-made patterns are **often used in design and can be abstract, such as those used in mathematics, science, and language**. In architecture and art, patterns can be used to create visual effects on the observer. “Pay attention to the intricate patterns of your existence that you take for granted.” —

For example, rose, lilies, daisies, buttercups, and rose are all **Fibonacci flowers**. The spirals of the pinecone equal Fibonacci numbers. The petals of flowers are arranged in Fibonacci sequence. The seeds of sunflower follow a Fibonacci pattern.

Cracking pattern (engineering), **the fracture surfaces of materials**. Cracking pattern (painting), the fine pattern of dense cracking formed on the surface of paintings. Patterns in nature#Cracks, the patterns formed by cracks of different types in nature.

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Bharat Ratna | |
---|---|

First awarded | 1954 C. Rajagopalachari S. Radhakrishnan C. V. Raman |

Last awarded | 2019 Nanaji Deshmukh (Posthumous) Bhupen Hazarika (Posthumous) Pranab Mukherjee |

Total | 48 |

Precedence |

**The Seven Types of Intelligence**

- Linguistic. Enjoy writing, reading, telling stories or doing crossword puzzles.
- Logical-Mathematical. Interested in patterns, categories and relationships.
- Bodily-kinesthetic. Process knowledge through bodily sensations.
- Spatial.
- Musical.
- Interpersonal.
- Intrapersonal.

They are tricky to define precisely, though most are linked by a set of four common fractal features: **infinite intricacy, zoom symmetry, complexity from simplicity and fractional dimensions** – all of which will be explained below.

Figure 7.12 Sternberg's theory identifies three types of intelligence: **practical, creative, and analytical**.

Shah Rukh Khan is an Indian actor, film producer, and television personality predominantly known for his work in Bollywood. He is the recipient of several awards, including **fifteen Filmfare Awards, seventeen Screen Awards, thirteen Zee Cine Awards, and six IIFA Awards**.

Mental abilities have commonly been broken down into two main categories; primary and secondary. **Primary mental abilities are thought to be large scale groups with similar abilities.** **Secondary mental ability builds off foundational primary mental abilities of intelligence**.

**Plaid is a pattern** formed from criss-crossing lines of varying widths in one, two or three colours. Plaid is more commonly used on shirts as it can also come in sheer fabrics.

**Eight types of intelligence**

- Logical-mathematical intelligence.
- Linguistic intelligence.
- Spatial Intelligence.
- Musical Intelligence.
- Bodily-kinesthetic Intelligence.
- Intrapersonal Intelligence.
- Interpersonal Intelligence.
- Naturalistic intelligence.

Dated : 21-Jul-2022

Category : Education