Conic Sections Quiz

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Questions and Answers

What is the locus of a point that moves so that the sum of its distances from two fixed points is constant?

An ellipse (correct)

A hyperbola

A circle

A parabola

What is the definition of a tangent to a conic?

A line parallel to the normal

A line that passes inside the conic

A line that is perpendicular to the normal

A line that touches the conic at only one point (correct)

What is the focus of a point that moves so that its distance from a fixed point and a fixed line is always equal?

An ellipse

A circle

A parabola (correct)

A hyperbola

What is the locus of a point that moves so that it is always equidistant from a fixed point?

A circle Signup and view all the answers

In polar coordinate system, when is the polar angle positive?

When measured counterclockwise Signup and view all the answers

What is the plane rectangular coordinate system divided into?

Quadrants Signup and view all the answers

What is the rectangular coordinate system in space divided into?

Octants Signup and view all the answers

What is the conic section whose eccentricity is greater than one?

A hyperbola Signup and view all the answers

Which type of business structure is characterized by a single owner?

Single Proprietorship Signup and view all the answers

What is an annuity?

A series of uniform amounts over a period of time Signup and view all the answers

What must two investments with the same present worth and unequal lives have?

Different equivalent annual cash flows Signup and view all the answers

What is perfect competition?

A market structure where many firms compete with each other Signup and view all the answers

What is utility?

The ability of a product to satisfy human want Signup and view all the answers

What is marginal revenue?

The revenue earned from selling an additional unit of a product Signup and view all the answers

What is a journal in accounting?

A book where financial transactions are recorded in detail Signup and view all the answers

What is depreciation?

A decrease in the value of an asset over time Signup and view all the answers

What is the term for the chord that contains a focus and a line perpendicular to the major axis in an ellipse?

Latus rectum Signup and view all the answers

What is the term for a legal entity possessing many of the legal powers of individuals?

Corporation Signup and view all the answers

Which of the following is not a part of a balance sheet?

Cost of goods sold Signup and view all the answers

What is the term for the cost of merchandise that includes freight and insurance cost?

Freight-on-board Signup and view all the answers

What is the term for a fund into which annual deposits are made in order to accumulate a fund at a future time?

Sinking fund Signup and view all the answers

What is the term for cash money credit necessary to establish and operate an enterprise?

Capital Signup and view all the answers

What is the term for the act of charging two or more buyers or sellers different prices for the same product?

Price discrimination Signup and view all the answers

What is the term for a formal organization of producers within an industry formed to increase profit and block newcomers from the industry?

Cartel Signup and view all the answers

What is the term for the price at which the quantity of a good that buyers want to buy is equal to the quantity that sellers want to sell?

Equilibrium price Signup and view all the answers

What is the length of time during which a property is capable of performing the function for which it was designed and manufactured?

Economic life Signup and view all the answers

What type of business entity is a distinct legal entity, separate from its owners?

Corporation Signup and view all the answers

How many faces does an icosahedron have?

20 Signup and view all the answers

Which of the following cannot be a probability?

0.43434343 Signup and view all the answers

What shape are the faces of a regular hexahedron?

Square Signup and view all the answers

What is the result of infinity minus infinity?

Indeterminate Signup and view all the answers

What is the result of any number divided by infinity?

Zero Signup and view all the answers

What is the shape of the path of a projectile?

A parabola Signup and view all the answers

What is the term for the outcome of an experiment?

An event Signup and view all the answers

What are curves that intersect a given family of curves at an angle less than 90° called?

Isogonal trajectories Signup and view all the answers

What is the term for a series of numbers that are perfectly square numbers?

Fermat's number Signup and view all the answers

What is the term for a sequence of numbers where every term is obtained by adding all the preceding terms?

Triangle number Signup and view all the answers

Which hypothesis states that equal volumes of all gases under the same conditions of temperature and pressure contain the same number of molecules?

Avogadro's hypothesis Signup and view all the answers

What is the ratio of the triaxial stress to the change in volume at equal stress in all directions?

Bulk modulus of elasticity Signup and view all the answers

According to Kepler's law, what determines the shape of the ellipse?

Eccentricity Signup and view all the answers

Study Notes

Conic Sections

A conic section whose eccentricity is greater than one is known as a hyperbola.
A conic section whose eccentricity is less than one is known as an ellipse.
A conic section whose eccentricity is equal to one is known as a parabola.

Coordinate Systems

In a polar coordinate system, the polar angle is positive when measured counterclockwise.
The distance from a point to the pole in a polar coordinate system is known as the radius.

Business and Economics

An annuity is a series of uniform amounts over a period of time.
An interest-earning fund in which equal deposits are made at equal intervals of time is called a sinking fund.
The decrease in value of a physical property due to the passage of time is known as depreciation.
The cost of merchandise, including freight and insurance costs, is known as freight-on-board.
The balance sheet is a statement showing the financial status of a company at a given time.
Cash money credit necessary to establish and operate an enterprise is known as capital.

Geometry

The length of time during which a property is capable of performing the function for which it was designed and manufactured is termed as economic life.
A regular hexahedron has faces that are squares.
Infinity minus infinity is indeterminate.
Any number divided by infinity is equal to zero.

Probability and Statistics

A possible outcome of an experiment is called an event.
A sequence of numbers where every term is obtained by adding all the preceding terms, such as 1, 5, 14, 30,…..is called a triangle number.

Science

The act of charging two or more buyers or sellers different prices for the same product is known as price discrimination.
The main cause of a leak from a faucet coming out in separate drops is surface tension.
The ratio of the triaxial stress to the change in volume at equal stress in all directions is known as the bulk modulus of elasticity.

Miscellaneous

A corporation is a legal entity possessing many of the legal powers of individuals.
The locus of a point that moves so that its distance from a fixed point and a fixed line is always equal is known as a parabola.
The plane rectangular coordinate system is divided into four parts, which are known as quadrants.
The rectangular coordinate system in space is divided into eight compartments, which are known as octants.

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