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The chord {P}{Q} of the rectangular hyperbola {x}{y}={a}^{{2}}

Question

The chord $P Q$ of the rectangular hyperbola $x y = a^{2}$ meets the axis of $x$ at $A; C$ is the midpoint of $P Q;$ and $O$ is the origin. Then $Δ A C O$ is equilateral (b) isosceles right-angled (d) right isosceles

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The chord

P Q

of the rectangular hyperbola

x y = a^{2}

meets the axis of

x

A; C

is the midpoint of

P Q;

and

O

is the origin. Then

Δ A C O

is equilateral (b) isosceles right-angled (d) right isosceles

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