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JEE Advance - Mathematics (1994 - No. 32)

The equation $$2{x^2} + 3{y^2} - 8x - 18y + 35 = k$$ represents
no locus if $$k > 0$$
an ellipse if $$k < 0$$
a point if $$k = 0$$
a hyperbola if $$k > 0$$

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