Solve the Problem $x ^ { 2 } - \frac { y ^ { 2 } } { 16 } = 1$

question 229

Multiple Choice

Solve the problem.
-Find the foci and asymptotes of the following hyperbola: $x ^ { 2 } - \frac { y ^ { 2 } } { 16 } = 1$

• A) Foci: \(( \sqrt { 17 } , 0 ) , ( - \sqrt { 17 } , 0 ) ;\) Asymptotes: \(y = \frac { 1 } { 4 } x , y = - \frac { 1 } { 4 } x\)
• B) Foci: \(( 4,0 ) , ( - 4,0 )\); Asymptotes: \(y = \frac { 1 } { 4 } x , y = - \frac { 1 } { 4 } x\)
• C) Foci: \(( 0 , \sqrt { 17 } ) , ( 0 , - \sqrt { 17 } ) ;\) Asymptotes: \(y = 4 x , y = - 4 x\)
• D) Foci: \(( \sqrt { 17 } , 0 ) , ( - \sqrt { 17 } , 0 )\); Asymptotes: \(y = 4 x , y = - 4 x\)

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Definitions:

Coupon Bond

A debt security that pays the investor periodic interest payments called coupons and returns the principal at the end of the maturity.

Par Value

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The total return expected on a bond if held till its maturity date, including both interest payments and capital gains or losses.