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If the circle x^(2)+y^(2)=a^(2) intersec...

If the circle `x^(2)+y^(2)=a^(2)` intersects the hyperbola `xy=c^(2)` in four points `P(x_(1),y_(1)),Q(x_(2),y_(2)),R(x_(3),y_(3))` and `S(x_(4),y_(4))` then

A

`x_(1)+x_(2)+x_(3)+x_(4)=0`

B

`x_(1) . x_(2) . x_(3) . x_(4)=y_(1) . y_(2) . y_(3) . y_(4)=c^(4)`

C

`y_(1)+y_(2)+y_(3)+y_(4)=0`

D

`x_(1)+y_(2)+x_(3)+y_(4)=0`

Text Solution

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The correct Answer is:
D
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