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Which equation does not represent an ellipse? A (x + 1)² (y – 5)² = 1 3 7 B +-1 C 25x² + y² + 150x 14y + 174 = 0 D (x + 1)² (x - 5)² = 1 + 3 7

Which equation does not represent an ellipse? A (x + 1)² (y – 5)² = 1 3 7 B +-1 C 25x² + y² + 150x 14y + 174 = 0 D (x + 1)² (x - 5)² = 1 + 3 7

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question

Which equation does not represent an ellipse?

 

**Question 6** Which equation does not represent an ellipse? **Options:** (A) \(\frac{(x + 1)^2}{3} - \frac{(y - 5)^2}{7} = 1\) (B) \(\frac{x^2}{4} + \frac{y^2}{9} = 1\) (C) \(25x^2 + y^2 + 150x - 14y + 174 = 0\) (D) \(\frac{(x + 1)^2}{3} + \frac{(y - 5)^2}{7} = 1\) Explanation: - Option (A) represents a hyperbola, not an ellipse, because it has a difference between the squared terms. - Option (B) represents an ellipse in standard form. - Option (C) can be converted to an ellipse equation by completing the square, making it also represent an ellipse. - Option (D) represents an ellipse in standard form. Therefore, Option (A) does not represent an ellipse.
Transcribed Image Text:**Question 6** Which equation does not represent an ellipse? **Options:** (A) \(\frac{(x + 1)^2}{3} - \frac{(y - 5)^2}{7} = 1\) (B) \(\frac{x^2}{4} + \frac{y^2}{9} = 1\) (C) \(25x^2 + y^2 + 150x - 14y + 174 = 0\) (D) \(\frac{(x + 1)^2}{3} + \frac{(y - 5)^2}{7} = 1\) Explanation: - Option (A) represents a hyperbola, not an ellipse, because it has a difference between the squared terms. - Option (B) represents an ellipse in standard form. - Option (C) can be converted to an ellipse equation by completing the square, making it also represent an ellipse. - Option (D) represents an ellipse in standard form. Therefore, Option (A) does not represent an ellipse.
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