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If the abscissa and ordinates of two points {P}{a}{n}{d}{Q} ar

Question

If the abscissa and ordinates of two points $P a n d Q$ are the roots of the equations $x^{2} + 2 a x - b^{2} = 0$ and $x^{2} + 2 p x - q^{2} = 0$ , respectively, then find the equation of the circle with $P Q$ as diameter.

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Noah Discussed

If the abscissa and ordinates of two points

P a n d Q

are the roots of the equations

x^{2} + 2 a x - b^{2} = 0

and

x^{2} + 2 p x - q^{2} = 0

, respectively, then find the equation of the circle with

P Q

as diameter.

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Question Text

If the abscissa and ordinates of two points

P a n d Q

are the roots of the equations

x^{2} + 2 a x - b^{2} = 0

and

x^{2} + 2 p x - q^{2} = 0

, respectively, then find the equation of the circle with

P Q

as diameter.

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