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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 =0`

C

`y_1 + y_2 + y_3 + y_4 =0`

D

all the correct

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The correct Answer is:
D
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