The equation \( 3 x^{2}+4 y^{2}-6 x+8 y+k=0 \) represents (a) a poi...

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The equation \( 3 x^{2}+4 y^{2}-6 x+8 y+k=0 \) represents
(a) a point if \( k=7 \)
(b) an ellipse if \( k7 \)
(c) no locus if \( k7 \)
(d) a hyperbola if \( 3k7 \)
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