Determine Two Pairs of Polar Coordinates for the Point with 0°

question 269

Multiple Choice

Determine two pairs of polar coordinates for the point with 0° ≤ θ < 360°.
- $( 0 , - \sqrt { 5 } )$

• A) \(\left( \sqrt { 5 } , 0 ^ { \circ } \right) , \left( - \sqrt { 5 } , 180 ^ { \circ } \right)\)
• B) \(\left( \sqrt { 5 } , 270 ^ { \circ } \right) , \left( - \sqrt { 5 } , 90 ^ { \circ } \right)\)
• C) \(\left( \sqrt { 5 } , 90 ^ { \circ } \right) , \left( - \sqrt { 5 } , 270 ^ { \circ } \right)\)
• D) \(\left( \sqrt { 5 } , 90 ^ { \circ } \right) , \left( - \sqrt { 5 } , 0 ^ { \circ } \right)\)

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Definitions:

Pareto Optimality

The scenario in which resources are allocated in a manner that prohibits enhancing one individual's situation without negatively impacting another's.

Lost Surplus

Refers to the reduction in the combined consumer and producer surplus, often caused by inefficiencies in a market, such as taxes, tariffs, or other forms of market intervention.

Market Failure

A situation in which market forces, such as supply and demand, fail to allocate resources efficiently, often justifying government intervention.

Pareto Efficiency

A situation where resources are distributed in such a way that improving the condition of any one individual or meeting a preference more fully would result in detriment to at least one other individual or preference.