Question:medium

If the circle $ x^{2} + y^{2} = a^{2} $ intersects the hyperbola $ xy = c^{2} $ in four points $ (x_i, y_i) $, for $ i = 1, 2, 3, 4 $, then $ y_{1} + y_{2} + y_{3} + y_{4} $ equals

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In a quartic equation, if the $y^3$ term is missing, the sum of all roots is zero.

Updated On: Apr 10, 2026

0
c
a
$c^{4}$

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The Correct Option is A

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If the circle \( x^{2} + y^{2} = a^{2} \) intersects the hyperbola \( xy = c^{2} \) in four points \( (x_i, y_i) \), for \( i = 1, 2, 3, 4 \), then \( y_{1} + y_{2} + y_{3} + y_{4} \) equals

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The Correct Option is A

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