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Juan Set 2 Paper 1 · Q3

Paper 1Algebra

Let aa, xx, yy be positive real numbers such that

−2x2+y2=2a,3x2−2y2=−6a.-2x^2+y^2=2a,\qquad 3x^2-2y^2=-6a.

What is the ratio yx\dfrac{y}{x}?

A1
B2\sqrt{2}
C3\sqrt{3}
D2
E3

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