Write the Standard Form of the Equation of the Circle $( 8 , - 12 )$

question 38

Multiple Choice

Write the standard form of the equation of the circle whose diameter has endpoints of $( 8 , - 12 )$ and $( 14 , - 4 )$ .

• A) \(( x - 11 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 25\)
• B) \(( x - 11 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 5\)
• C) \(( x + 8 ) ^ { 2 } + ( y - 11 ) ^ { 2 } = 25\)
• D) \(( x - 8 ) ^ { 2 } + ( y + 11 ) ^ { 2 } = 25\)
• E) \(( x + 11 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 5\)

---

Definitions:

Maturity Value

The amount to be paid to the holder of a financial instrument at the end of its term, including the principal and any accumulated interest or dividends.

Compounded Semi-annually

A method of calculating interest where the interest is added to the principal twice a year.

Strip Bond

A type of bond investment where the coupon payments and the principal are separated and sold individually as zero-coupon instruments.

Yield Rate

The annual income return on an investment, expressed as a percentage of the investment's price.