Determinants Are Used to Show That Three Points Lie on the Same

question 138

Multiple Choice

Determinants are used to show that three points lie on the same line (are collinear) . If
-Determinants are used to show that three points lie on the same line (are collinear) . If $$\left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right| = 0 ,$$
then the points $\left( \mathrm { x } _ { 1 } , \mathrm { y } _ { 1 } \right) , \left( \mathrm { x } _ { 2 } , \mathrm { y } _ { 2 } \right)$ , and $\left( \mathrm { x } _ { 3 } , \mathrm { y } _ { 3 } \right)$ are collinear. If the determinant does not equal 0 , then the points are not collinear Are the points $( 10 - 9 ) , ( 0,5 )$ and $( 30 - 36 )$ collinear?

• A)No
• B)Yes

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Definitions:

Promised Yield

The return a bond issuer commits to pay to bondholders, usually expressed as an annual percentage.

Modified Duration

A measure of the sensitivity of a bond's price to changes in interest rates, indicating the percentage change in price for a one percent change in yield.

Yield To Maturity

The total return anticipated on a bond if it is held until its maturity date.

Semiannually

A term indicating that an event or action occurs twice a year.