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If the circle x^2 + y^2 = a^2 intersects...

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), S(x_4, y_4)`, then : (A) `x_1 + x_2 + x_3 + x_4 = 0` (B) `y_1 + y_2 + y_3 + y_4 = 0` (C) `x_1 x_2 x_3 x_4= c^4` (D) `y_1 y_2 y_3 y_4 = c^4`

A

`sum x_1=0`

B

`sumy_1=0`

C

`prodx_1=0`

D

`prody_1=0`

Text Solution

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The correct Answer is:
A, B, C, D
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ARIHANT MATHS-HYPERBOLA-Exercise (Questions Asked In Previous 13 Years Exam)
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