The equation, 3x 2 + 4y 2 – 18x + 16y + 43 = c.

Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry

1. cannot represent a real pair of straight lines for any value of c
2. represents an ellipse, if c > 0
3. represents empty set, if c < 0
4. a point, if c = 0

Answer

(A) cannot represent a real pair of straight lines for any value of c, (B) represents an ellipse, if c > 0, (C) represents empty set, if c < 0, (D) a point, if c = 0

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