A Triangle with Vertices at (X1, Y1), (X2, Y2), and (X3

question 374

Multiple Choice

A triangle with vertices at (x1, y1) , (x2, y2) , and (x3, y3) has area equal to the absolute value of D, where $$D = \frac { 1 } { 2 } \left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right|$$ Find the area of the triangle having vertices at P, Q, and R.
- $$\mathrm { P } ( - 3,2 ) , \mathrm { Q } ( 1 , - 3 ) , \mathrm { R } ( 5,1 )$$

• A) 32
• B) 18
• C) 36
• D) 0

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Definitions:

Basis Points

One basis point is equal to 1/100th of 1%, used primarily to denote the change in interest rates, equity indexes, and the yield of fixed-income securities.

Price Decline

A decrease in the market price of an asset or security.

Duration

A measure of the sensitivity of the price of a bond or other fixed-income investment to a change in interest rates, often expressed in years.

Price Volatility

The rate at which the price of an asset increases or decreases for a given set of returns, indicative of the risk or stability.